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Solving a Linear Programming Equation

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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 mentioned problem to solve, the solution to the problem is:

a. T = 0, B=10

b. T = 10, B= 0

c. T = 8, B=2

d. T = 0, B= 6

e. none of the above

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Solution Summary

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 mentioned problem to solve, the solution to the problem is:

a. T = 0, B=10

b. T = 10, B= 0

c. T = 8, B=2

d. T = 0, B= 6

e. none of the above

Solution Preview

The combinations will produce the following results:

Number of Number of Total Total Gallons Total Lengths
Bookcases Tables Profit ($) ...

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