Consider the following problem: A small manufacturer of photographic products prepares two types of film developing products each day named Fine and Extra Fine, using as the raw material Solutions A and B. Each litre of Fine contains 2 ml of Solution A, 1 ml of Solution B and the rest in other easily obtainable ingredients. Each litre of Extra Fine contains 1 ml of Solution A, 2 ml of Solution B and the rest in other easily obtainable ingredients. The profit on a litre of Fine is 8 cents and the profit on each litre of Extra Fine is 10 cents. The firm has only 50 litres of Solution A and 70 litres of Solution B available each day. How many litres of Fine and Extra Fine should be produced each day to maximize profit (assuming that the shop will sell everything it produces)? Which of the following would be a correct choice of variables involved? 0 A Let x be the number of days, let y be the number of products to produce and let P be the profit earned. B Let x be the amount of Solution A to use, let y be the amount of Solution B to use, let z be the amount of other easily obtainable ingredients to use and let P be the profit. C Let x be the amount of profit and let y be the amount of film developing products to produce. D Let x be the amount of Solution A to use, let y be the amount of Solution B to use and let P be the profit. E Let x be the number of litres of Fine to produce, let y be the number of litres of Extra Fine to produce and let P be the profit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following problem: A small manufacturer of photographic products prepares two types of film developing products each day named Fine and Extra Fine, using as the raw material Solutions A and B. Each litre of Fine contains 2 ml of Solution A, 1 ml of Solution B and the rest in other easily obtainable ingredients. Each litre of Extra Fine contains 1 ml of Solution A, 2 ml of Solution B and the rest in other easily obtainable ingredients. The profit on a litre of Fine is 8 cents and the profit on each litre of Extra Fine is 10 cents. The firm has only 50 litres of Solution A and 70 litres of Solution B available each day. How many litres of Fine and Extra Fine should be produced each day to maximize profit (assuming that the shop will sell everything it produces)?

Which of the following would be a correct choice of variables involved?


0
A
Let x be the number of days, let y be the number of products to produce and let P be the profit earned.

B
Let x be the amount of Solution A to use, let y be the amount of Solution B to use, let z be the amount of other easily obtainable ingredients to use and let P be the profit.

C
Let x be the amount of profit and let y be the amount of film developing products to produce.

D
Let x be the amount of Solution A to use, let y be the amount of Solution B to use and let P be the profit.

E
Let x be the number of litres of Fine to produce, let y be the number of litres of Extra Fine to produce and let P be the profit.

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