A small fabrication firm makes three basic types of components for use by other companies. Each component is processed on three machines. Total capacities (in hours) are 1,700 formachines 1; 1,300 for machine 2; and 1,600 for machine 3. The processing times are as follows:ComponentABссProcessing Time (hr)Machine 1Machine 20.250.200.103028190.100.150.05Each component contains a different amount of two basic raw materials. Raw material 1 costs $0.10 per ounce, and raw material 2 costs $0.25 per ounce. At present, 181,000 ounces ofraw material 1 and 85,000 ounces of raw material 2 are available.Component Raw Material 1ABсRequirements (oz/unit)Raw Material 212169Machine 30.050.100.15Selling Price ($/unit)35.4024.0021.20a. Assume that the company must make at least 1,000 units of component B, that labor costs are negligible, and that the objective is to maximize profits. Specify the objective functionand constraints for the problem.Objective function: Maximize Z=A+B+C. (Enter your responses rounded to two decimal places.)

Linear programming (LP) is an important tool in operations management that helps organizations…

Answered: a. Assume that the company must make at…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 64P

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The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal, and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and 5,000 pounds of rubber. It takes two hours of labor to make one tank, two hours for one truck, and one hour for a turtle. The company allows no more than 40 hours a week for production (priority #1). Finally, the cost of manufacturing one tank is $7, 1 truck is $5 and 1 turtle is $4; a target budget of $164,000 is initially used as a guideline for the company to follow. a) Minimize over-utilization of the weekly available supply of materials used in making the toys and place twice as much emphasis on the plastic (priority #2) b) Minimize the…

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