Enter your answer as an ordered pair.

Question

Enter your answer as an ordered pair.

(basic, touchscreen

During a special promotion, the company earns $20 for each basic model sold and $30 fo each touch screen model sold. How many of each model should the company produce to maximize their profit?

Answer 1

I have seen this problem before. You neglected to provide the graph.

* The graph provides the coordinate points (3,8), (18,8), (3,15) and (12,12) *

That being said, the answer would be

P(x,y) = 20x + 30y

P(3,8) =20(3) + 30(8) = 300

P(18,8) = 20(18) + 30(8) = 600

P(3,15) = 20(3) + 30(15) = 510

P(12,12) = 20(18) + 30(12) = 600

Therefore, the max profit is 600. The company should produce 18 basic models and 8 touch screens, or 12 basic models and 12 touchscreens