At a home store, one sheet of -in. sanded pine plywood costs $24. One sheet of -in, sanded pine plywood costs $20. Write an objective function z = f(x, y) that represents the total cost for x-in. sheets and y-in. sheets.
At a home store, one sheet of -in. sanded pine plywood costs $24. One sheet of -in, sanded pine plywood costs $20. Write an objective function z = f(x, y) that represents the total cost for x-in. sheets and y-in. sheets.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Transcribed Image Text:At a home store, one sheet of -in. sanded pine plywood costs $24. One sheet of -in, sanded pine plywood costs $20.
Write an objective function z = f(x, y) that represents the total cost for x-in. sheets and y-in. sheets.
Expert Solution
Step 1
Let number of sheets of 3/8-in. sanded pine plywood be x and the number of 1/4-in.sanded pine plywood .
Cost of one sheet of 3/8-in. sanded pine plywood is $24
Therefore,cost of x sheet of 3/8-in. sanded pine plywood is $24x
Also,cost of one sheet of 1/4-in.sanded pine plywood is $20.
Therefore,cost of y sheet of 1/4-in. sanded pine plywood is $20y
Thus, total cost for x 3/8-in. sheets and y 1/4-in. sheets is
z=f(x,y)=24x+20y
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