A company manufactures checker sets and chess sets. Suppose each day the co chess set uses 60 units of wood. The distributors the company sells to can take ) How many checker sets and how many chess sets should the company make each d checker sets chess sets

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Solve this linear programming problem by graphing. Give all answers correct to at least 2 decimal places.
A company manufactures checker sets and chess sets. Suppose each day the company has available 1600 boards (which can be used for both games) and 80,000 units of wood for making pieces. Each checker set uses 20 units of wood and each
chess set uses 60 units of wood. The distributors the company sells to can take up to 1250 checker sets per day and up to 750 chess sets per day. The company makes a profit of $1.00 on each checker set and $2.00 on each chess set.
(a) How many checker sets and how many chess sets should the company make each day in order to maximize its profits?
checker sets
chess sets
(b) What is the profit per day using this strategy?
$
per day
Transcribed Image Text:Solve this linear programming problem by graphing. Give all answers correct to at least 2 decimal places. A company manufactures checker sets and chess sets. Suppose each day the company has available 1600 boards (which can be used for both games) and 80,000 units of wood for making pieces. Each checker set uses 20 units of wood and each chess set uses 60 units of wood. The distributors the company sells to can take up to 1250 checker sets per day and up to 750 chess sets per day. The company makes a profit of $1.00 on each checker set and $2.00 on each chess set. (a) How many checker sets and how many chess sets should the company make each day in order to maximize its profits? checker sets chess sets (b) What is the profit per day using this strategy? $ per day
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