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# Timothy Kent Designers Linear Programming Objective Function

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Each coffee table produced by Timothy Kent Designers nets the firm a profit of \$9. Each bookcase yields a \$12 profit. Kent's firm is small and its resources limited. During any given production period (of 1 week), 10 gallons of varnish and 12 length of high quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1 gallon of varnish and 2 lengths of wood.

T = number of tables produced each week
B = number of bookcases produced each week

Referring to the above mentioned problem, if we were to frame this as a linear programming problem, the objective function would be

a. minimize 10T + 10B

b. maximize 9B + 12T

c. maximize 9T + 12B

d. maximize 12T + 10B

e. none of the above

Can you help me get started with this assignment?

#### Solution Summary

This post discusses how to determine the objective function for maximizing total profits and provides the answer.

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