# How many units of each style must be sold?A manufacturer of dining-room sets produces two styles: early American and contemporary. from past experience, management has determined that 20% more of...

How many units of each style must be sold?

A manufacturer of dining-room sets produces two styles: early American and contemporary. from past experience, management has determined that 20% more of the American styles can be sold than the contemporary styles. A Profit of \$250 is made on each early American set sold, whereas a profit of \$350 is made on each contemporary set. if, in the forthcoming year, management desires a total profit of \$130000.

justaguide | College Teacher | (Level 2) Distinguished Educator

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The manufacturer of dining-room sets produces two styles: early American and contemporary. From past experience, it is known that 20% more of the American styles can be sold than the contemporary styles. A Profit of \$250 is made on each early American set sold, whereas a profit of \$350 is made on each contemporary set. The profit to be made is \$130000.

Let the number of sets of contemporary style sold be N, 1.2*N of the American style are sold. This gives 250*1.2*N + 350*N = 130000

=> N = 200

The manufacturer should sell 200 sets of contemporary style and 240 sets of American style.