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Each coffee table produced by Robert West Designers nets the firm aprofit of $16

ID: 2444363 • Letter: E

Question

Each coffee table produced by Robert West Designers nets the firm aprofit of $16. Each bookcase yields a $12 profit. West’s firmis small and its resources limited. During any given productionperiod (of 1 week), 10 gallons of varnish and 12 lengths ofhigh-quality redwood are available. Each coffee table requiresapproximately 1 gallon of varnish and 1 length of redwood. Eachbookcase takes 1 gallon of varnish and 2 lengths of wood. FormulateWest’s production-mix decision as a linear programmingproblem, and solve.

How many tables should be produced each week?

Round your answer to the nearest whole number; forexample, 12 .

How many bookcases should be produced each week?

Round your answer to the nearest whole number; forexample, 12 .

What will the maximum profit be?

$

Round your answer to the nearest whole number; forexample, 12 .

Each coffee table produced by Robert West Designers nets the firm aprofit of $16. Each bookcase yields a $12 profit. West’s firmis small and its resources limited. During any given productionperiod (of 1 week), 10 gallons of varnish and 12 lengths ofhigh-quality redwood are available. Each coffee table requiresapproximately 1 gallon of varnish and 1 length of redwood. Eachbookcase takes 1 gallon of varnish and 2 lengths of wood. FormulateWest’s production-mix decision as a linear programmingproblem, and solve.

(a)

How many tables should be produced each week?

Round your answer to the nearest whole number; forexample, 12 .

(b)

How many bookcases should be produced each week?

Round your answer to the nearest whole number; forexample, 12 .

(c)

What will the maximum profit be?

$

Round your answer to the nearest whole number; forexample, 12 .

Explanation / Answer

Profit Equation (to maximize): P = 16T + 12B Constraints: Varnish: 1T + 1B
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