firm produces two kinds of golf balls, one that sells for $3 and one priced at $2. The total revenue, in thousands of dollars, from the sale of x thousand balls at $3 each and y thousand at $2 each is given by R(x, y) = 3x + 2y. The company determines that the total cost, in thousands of dollars, of producing x thousands of the $3 ball and y thousands of the $2 ball is given by C(x, y) = 2x 2 − 2xy+ y 2 − 9x + 6y + 7. How many balls of each type must be produced and sold in order to maximize the profit?

firm produces two kinds of golf balls, one that sells for $3 and one priced at $2. The total revenue, in thousands of dollars, from the sale of x thousand balls at $3 each and y thousand at $2 each is given by R(x, y) = 3x + 2y. The company determines that the total cost, in thousands of dollars, of producing x thousands of the $3 ball and y thousands of the $2 ball is given by C(x, y) = 2x 2 − 2xy+ y 2 − 9x + 6y + 7. How many balls of each type must be produced and sold in order to maximize the profit?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A firm produces two kinds of golf balls, one that sells for $3 and one priced at $2. The total revenue, in thousands of dollars, from the sale of x thousand balls at $3 each and y thousand at $2 each is given by R(x, y) = 3x + 2y. The company determines that the total cost, in thousands of dollars, of producing x thousands of the $3 ball and y thousands of the $2 ball is given by C(x, y) = 2x 2 − 2xy+ y 2 − 9x + 6y + 7. How many balls of each type must be produced and sold in order to maximize the profit?

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