An electronics store manager stocks from 30 to 40 IBM-compatible computers and from 40 to 50 Macintosh computers. There is room in the store to stock up to 80 computers. The manager receives a commission of $60 on the sale of each IBM-compatible computer and $30 on the sale of each Macintosh computer. If the manager can sell all of the computers, find the maximum commission.
A) $3,700
B) $3,300
C) $3,200
D) $3,600
E) $3,800

Question

An electronics store manager stocks from 30 to 40 IBM-compatible computers and from 40 to 50 Macintosh computers. There is room in the store to stock up to 80 computers. The manager receives a commission of $60 on the sale of each IBM-compatible computer and $30 on the sale of each Macintosh computer. If the manager can sell all of the computers, find the maximum commission. 
A) $3,700 
B) $3,300 
C) $3,200 
D) $3,600 
E) $3,800

Quizplus · Accepted Answer

To maximize the commission, the store manager should stock the maximum number of IBM-compatible computers (40) and the minimum number of Macintosh computers (40). This would result in a commission of $2,400 for the IBM-compatible computers (40 x $60) and $1,200 for the Macintosh computers (40 x $30), for a total commission of $3,600. Any other combination of computer models would result in a lower commission. Therefore, the best choice is D.

An Electronics Store Manager Stocks from 30 to 40 IBM-Compatible