What is the Investment Industry Regulatory Organization of Canada (iiroc.ca)? Describe its mandate, with particular attention on how the IIROC protects the investors’ funds (cipf.ca). Approx 100 to 200 wds

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ABC Television Company ships televisions from three warehouses to three retail stores on a monthly basis. Each warehouse has a fixed supply per month, and each store has a fixed demand per month. The manufacturer wants to know the number of television sets to ship from each warehouse to each store in order to minimize the total cost of transportation.

Each warehouse has the following supply of televisions available for shipment each month:

Warehouse	Supply (sets)
1. Adama	300
2. Bishoftu	200
3. Modjo	200
	700

Each retail store has the following monthly demand for television sets:

Store	Demand (sets)
A. Harer	150
B. Bale	250
C. Jimma	300
	700

Costs of transporting television sets from the warehouses to the retail stores vary as a result of differences in modes of transportation and distances. The shipping cost per television set for each route is as follows:

	To Store
From Warehouse	A	B	C
1	#16	#18	#11
2	14	12	13
3	13	15	17

Required: Formulate Lp model by using the above information

warehouse	harer	bale	jimma
adam	16	18	11
bishoftu	14	12	13
modjo	13	15	17

2) JKL Boat works is planning to manufacture three types of molded fiberglass recreational boats a fishing (bass) boat, a ski boat, and a small speed boat. The estimated selling price and variable cost for each type of boat are summarized in the following table:

Boat	Variable Cost	Selling Price
Sodere	#12,500	# 23,000
Tana	8,500	18,000
Awash	13,700	26,000

The company has incurred fixed costs of #2,800,000 to set up its manufacturing operation and begin production. JKL has also entered into agreements with several boat dealers in Ethiopia to provide a minimum of 70 Sodere boats, 50 Tana boats, and 50 Awash boats. Alternatively, the company is unsure of what actual demand will be, so it has decided to limit production to no more than 120 of any one boat. The company wants to determine the number of boats that it must sell to break even while minimizing its total variable cost.

Required: Formulate a linear programming model for this problem.

3) MAFI PLC produces three electrical products clocks, radios, and toasters. These products have the following resource requirements:

	Resource Requirements
	Cost/Unit	Labor Hours/Unit
Clock	#7	2
Radio	10	3
Toaster	5	2

The manufacturer has a daily production budget of #2,000 and a maximum of 660 hours of labor. Maximum daily customer demand is for 200 clocks, 300 radios, and 150 toasters. Clocks sell for #15, radios for #20, and toasters for #12. The company wants to know the optimal product mix that will maximize profit.

Required: Formulate a linear programming model for this problem.

4) The Kalo Fertilizer Company produces two brands of lawn fertilizer Super Two and Green Growat plants in Fresno, California, and Dearborn, Michigan. The plant at Fresno has resources available to produce 5,000 pounds of fertilizer daily; the plant at Dearborn has enough resources to produce 6,000 pounds daily. The cost per pound of producing each brand at each plant is as follows:

	Plant
Product	Fresno	Dearborn
Super Two	$2	$4
Green Grow	2	3

The company has a daily budget of $45,000 for both plants combined. Based on past sales, the company knows the maximum demand (converted to a daily basis) is 6,000 pounds for Super Two and 7,000 pounds for Green Grow. The selling price is $9 per pound for Super Two and $7 per pound for Green Grow. The company wants to know the number of pounds of each brand of fertilizer to produce at each plant in order to maximize profit.

Required: Formulate a linear programming model for this problem.

5). HALO Metal works Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specifications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C, and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table:

	Metal (%)
Ore	A	B	C	D	Impurities (%)	Cost/Ton
1	19	15	12	14	40	#27
2	43	10	25	7	15	25
3	17	0	0	53	30	32
4	20	12	0	18	50	22
5	0	24	10	31	35	20
6	12	18	16	25	29	24

When the metals are processed and refined, the impurities are removed.

The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy.

Required: Formulate a linear programming model for this problem.

6).The Midland Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product 1; 570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows:

	Machine
Product	1	2	3	4
1	35	41	34	39
2	40	36	32	43
3	38	37	33	40

Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste, and operating cost. The profit per unit per machine for each product is summarized as follows:

	Machine
Product	1	2	3	4
1	$7.8	$7.8	$8.2	$7.9
2	6.7	8.9	9.2	6.3
3	8.4	8.1	9.0	5.8

The company wants to know how many units of each product to produce on each machine in order to maximize profit.

Required: Formulate this problem as a linear programming model.

7) Robert Helix is interested in expanding his firm. After careful consideration, he has determined three areas in which he might invest additional funds: (1) product research and development, (2) manufacturing operations improvements, and (3) advertising and sales promotion. He has $500,000 available for investment in the firm. He can invest in its advertising and sales promotion program every year, and each dollar invested in this manner is expected to yield a return of the amount invested plus 20% yearly. He can invest in manufacturing operations improvements every 2 years, with an expected return of the investment plus 30% (at the end of each 2-year period). An investment in product research and development would be for a 3-year period, with an expected return of the investment plus 50% (at the end of the 3-year period). To diversify the total initial investment, he wishes to include the requirement that at least $30,000 must be invested on the advertising and sales promotion program, at least $40,000 on manufacturing operations improvements, and at least $50,000 on product research and development initially (at the beginning of the first year). Ronald wants to know how much should be invested in each of the three alternatives, during each year of a 4-year period, to maximize the total ending cash value of the initial $500,000 investment.

Required:Formulate a linear programming model for this problem.

8). The manager of a department store in Addis Ababa is attempting to decide on the types and amounts of advertising the store should use. He has invited representatives from the local radio station, television station, and newspaper to make presentations in which they describe their audiences. The television station representative indicates that a TV commercial, which costs #15,000, would reach 25,000 potential customers. The breakdown of the audience is as follows:

	Male	Female
Senior	5,000	5,000
Young	5,000	10,000

The newspaper representative claims to be able to provide an audience of 10,000 potential customers at a cost of #4,000 per ad. The breakdown of the audience is as follows:

	Male	Female
Senior	4,000	3,000
Young	2,000	1,000

The radio station representative says that the audience for one of the station’s commercials, which costs # 6,000, is 15,000 customers. The breakdown of the audience is as follows:

	Male	Female
Senior	1,500	1,500
Young	4,500	7,500

The store has the following advertising policy:

• Use at least twice as many radio commercials as newspaper ads.
• Reach at least 100,000 customers.
• Reach at least twice as many young people as senior citizens.
• Make sure that at least 30% of the audience is female.

Available space limits the number of newspaper ads to seven. The store wants to know the optimal number of each type of advertising to purchase to minimize total cost.

Required: Formulate a linear programming model for this problem.

9he Midland Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electric consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product A, 570 units of product B, and 320 units of product C. The time (in minutes) required for each product to be produced on each machine is as follows:

Machine

Product	1	2	3	4
A	35	41	34	39
B	40	36	32	43
C	38	37	33	40

Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste, and operating cost. The profit per unit per machine for each product is summarized as follows:

Machine

Product	1	2	3	4
A	$6.68	$7.80	$8.20	$7.90
B	$6.70	$8.90	$8.20	$6.30
C	$8.40	$6.10	$9.00	$5.80

The company wants to know how many units of each product to produce on each machine to maximize profit.

a. Formulate this problem as a linear programming model.

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Expert Answer

Step 1

Given values:

Product “A” having 400 units

Product”B” having 570 units

Product “C” having 320 units

Then the time required for given machines is

Product	1	2	3	4
A	35	41	34	39
B	40	36	32	43
C	38	37	33	40

Time available for machine 1 is 150hours

For machine 2 is 240hours

Machine 3 is 200hours

Machine 4 is 250hours

Product	1	2	3	4
A	$6.68	$7.80	$8.20	$7.90
B	$6.70	$8.90	$8.20	$6.30
C	$8.40	$6.10	$9.00	$5.80

Step 2

Formulate the linear programming Model

Considering

Product	1	2	3	4
1	35	41	34	39
2	40	36	32	43
3	38	37	33	40
Product avilability	9000	14400	12000	15000

Then the maximization function is

maximize Z=

Then these are subjected to

 

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This assignment aims at Understand various qualitative and quantitative research methodologies and

techniques, and other general purposes are:

1. Explain how statistical techniques can solve business problems

2. Identify and evaluate valid statistical techniques in a given scenario to solve business problems

3. Explain and justify the results of a statistical analysis in the context of critical reasoning for a business

problem solving

4. Apply statistical knowledge to summarize data graphically and statistically, either manually or via a

computer package

5. Justify and interpret statistical/analytical scenarios that best fits business solution

 

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list three specific sensory details Mcphee uses in The Pines english writing 1500

 

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