A ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that restricting the types of balls produced could increase revenue. The following table gives the price of each ball, the raw materials cost, and the profit on each ball. The monthly profit must be at least $10,000, and the raw materials costs must be no more than $20,900. How many of each type of ball should be produced to maximize the revenue, and what is the maximum revenue?

A ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that restricting the types of balls produced could increase revenue. The following table gives the price of each ball, the raw materials cost, and the profit on each ball. The monthly profit must be at least $10,000, and the raw materials costs must be no more than $20,900. How many of each type of ball should be produced to maximize the revenue, and what is the maximum revenue?

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 ball manufacturer produces soccer balls, footballs, and volleyballs. The manager feels that restricting the types of balls produced could increase revenue. The following table gives the price of each ball, the raw materials cost, and the profit on each ball. The
monthly profit must be at least $10,000, and the raw materials costs must be no more than $20,900. How many of each type of ball should be produced to maximize the revenue, and what is the maximum revenue?
Raw Materials
Cost
Revenue
Profit
per ball
per ball
Footballs
$11
$33
$11
Soccer balls
12
34
11
Volleyballs
7
18
7
footballs
soccer balls
volleyballs
$

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