A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 340 cases of merchandise. The low-capacity trucks cost $30,000 and hold 200 cases of merchandise. The company has budgeted$1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 15 high-capacity trucks. How many of each type of truck should thecompany purchase to maximize the number of cases shipped at one time?To maximize the number of cases of merchandise that can be shipped simultaneously, the company should purchase high-capacity trucks and low-capacity trucks. Mr. Smith decides to feed his pet Doberman pinscher a combination of two dog foods.Each can of brand A contains 2 units of protein, 1 unit of carbohydrates, and 2 units of fat and costs 50 cents. Each can of brand B contains 1 unit of protein, 1 unit of carbohydrates, and 6 units of fat and costs 40 cents. Mr. Smithfeels that each day his dog should have at least 8 units of protein, 7 units of carbohydrates, and 30 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at theleast cost?Mr. Smith should give his dogcan(s) of brand A andcan(s) of brand B to provide the minimum requirements at the least cost.

High capacity truck Low capacity truck AvailabilityCost People qualified to driveMaximum number of…

Answered: A shipping company is buying new…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 340 cases of merchandise. The low-capacity trucks cost $30,000 and hold 200 cases of merchandise. The company has budgeted
$1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 15 high-capacity trucks. How many of each type of truck should the
company purchase to maximize the number of cases shipped at one time?
To maximize the number of cases of merchandise that can be shipped simultaneously, the company should purchase high-capacity trucks and low-capacity trucks.

Transcribed Image Text:Mr. Smith decides to feed his pet Doberman pinscher a combination of two dog foods. Each can of brand A contains 2 units of protein, 1 unit of carbohydrates, and 2 units of fat and costs 50 cents. Each can of brand B contains 1 unit of protein, 1 unit of carbohydrates, and 6 units of fat and costs 40 cents. Mr. Smith feels that each day his dog should have at least 8 units of protein, 7 units of carbohydrates, and 30 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost? Mr. Smith should give his dog can(s) of brand A and can(s) of brand B to provide the minimum requirements at the least cost.

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