Question

In: Advanced Math

A company manufactures Products A, B, and C. Each product is processed in three departments: I,...

A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2 hours of work from Dept. III.)

Product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
Profit $66 $44 $55

How many units of each product should the company produce in order to maximize its profit?

Product A     units
Product B     units
Product C     units


What is the largest profit the company can realize?
$  

Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)

labor in Dept. I     labor-hours
labor in Dept. II     labor-hours
labor in Dept. III     labor-hours

Solutions

Expert Solution

Any problem or doubt in answer then comment below.. i will explain you.

please thumbs up for this solution. Thanks.

Answers is in 1st image..

Now simplex tables


Related Solutions

A company manufactures Products A, B, and C. Each product is processed in three departments: I,...
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2...
A company manufactures Products A, B, and C. Each product is processed in three departments: I,...
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A 1.50 3.00 2.00 B 2.00 1.00 2.50 C 0.25 0.25 0.25 During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $25 for product 1, $28 for product 2,...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A 3.00 2.00 1.50 B 1.00 2.50 2.00 C 0.25 0.25 0.25 During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $28 for product 1, $30 for product 2,...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and...
Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows: Department Product 1 Product 2 Product 3 A 3.00 2.00 1.50 B 1.00 2.50 2.00 C 0.25 0.25 0.25 During the next production period the labor-hours available are 450 in department A, 350 in department B, and 50 in department C. The profit contributions per unit are $28 for product 1, $30 for product 2,...
A local electronic company primarily manufactures four highly technical telecommunication products. Each product must be processed...
A local electronic company primarily manufactures four highly technical telecommunication products. Each product must be processed in the following departments: component preparation, circuit board fabrication, packaging, and testing. The time requirements in each department (in hours) for each unit produced and its unit profit are summarized in the following table: Department Product Preparation Fabrication Packaging Testing Unit Profit A .5 3 1 .5 $450 D 1.0 3 1 .5 $550 B 1.5 1 2 1.0 $600 C 1.5 2 .5...
Jasmine Company manufactures both pesticide and liquid fertilizer, with each product manufactured in separate departments. Three...
Jasmine Company manufactures both pesticide and liquid fertilizer, with each product manufactured in separate departments. Three support departments support the production departments: Power, General Factory, and Purchasing. Budgeted data on the five departments are as follows: Support Departments Producing Departments Power General Factory Purchasing Pesticide Liquid Fertilizer Overhead $90,000 $314,000    $167,000    $78,900 $107,800 Square feet 1,500 —    1,500    4,200 4,800 Machine hours — 1,403    1,345    24,000 8,000 Purchase orders 20    40    7...
Giant Company has three products, A, B, and C. The following information is available: Product A...
Giant Company has three products, A, B, and C. The following information is available: Product A Product B Product C Sales $70,000 $97,000 $23,000 Variable costs 37,000 51,000 15,000 Contribution margin 33,000 46,000 8,000 Fixed costs: Order and delivery costs 10,000 20,000 2,000 Allocated corporate costs 7,000 12,000 9,400 Operating income $16,000 $14,000 $ (3,400) Delivery and ordering costs are avoidable costs. a. Do you recommend discontinuing the Product C line? Why or why not? b. What additional factors should...
ABC products makes parts for car engines. three departments (A, B and C) are involved in...
ABC products makes parts for car engines. three departments (A, B and C) are involved in the manufacturing process. The budgets for departmental overhead costs are $25,000, $45,000 and $30,000 respectively, which are allocated to products based on direct labor hours. Estimates of direct labor hours for each department are 5,000 7,000 and 10,000 hours respectively. The business-wide overhead absorption rate is: a. $3.00 b. $4.55 c. $4.81 d. 5.00
Barlow Company manufactures three products: A, B, and C. The selling price, variable costs, and contribution...
Barlow Company manufactures three products: A, B, and C. The selling price, variable costs, and contribution margin for one unit of each product follow:     Product     A      B      C Selling price   $   180         $   270         $   240      Variable expenses:                                    Direct materials      24            72            32      Other variable expenses      102            90  ...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT