Question

A furniture storehas set aside 800 square feet to display its sofas andchairs. Each sofa utilizes 50 sq. ft. and each chair utilizes30 sq. ft. At least five sofas and at least five chairs areto be displayed.

Suppose the profit on sofas is $200 and on chairsis $100. On a given day, the probability that a displayedsofa will be sold is .03 and that a displayed chair will be sold is.05. Mathematically model the followingobjective:

Maximize the total expected dailyprofit.


Max s + c
Max .03s + .05c
Max 6s +5c

Answer 1

Explanation:

Suppose the profit on sofas is $200 and on chairs is $100. On a given day, t

The probability that a displayed sofa will be sold is .03 and that a displayed chair

will be sold is .05. Mathematically model the following objective:

Maximize the total expected daily profit.

Max s + c

Max .03s +.05c

Max 6s +5c (<--- (0.03)*(200)*s +(0.05)*(100)*c )