the profit function is p = 50x + 80y, where x represents the number of chairs and y represents the number of…

the profit function is p = 50x + 80y, where x represents the number of chairs and y represents the number of sofas. using the values of the profit function at the vertices, find how many chairs and sofas the manufacturer should produce to earn that profit. (0, 0) p = 0 (0, 15) p = 1,200 (6, 12) p = 1,260 the manufacturer can earn a maximum profit of $ by producing chairs and sofas. done

the profit function is p = 50x + 80y, where x represents the number of chairs and y represents the number of sofas. using the values of the profit function at the vertices, find how many chairs and sofas the manufacturer should produce to earn that profit. (0, 0) p = 0 (0, 15) p = 1,200 (6, 12) p = 1,260 the manufacturer can earn a maximum profit of $ by producing chairs and sofas. done

Answer

Explanation:

Step1: Compare profit values

We have profit values $P(0,0)=0$, $P(0,15) = 1200$, $P(6,12)=1260$.

Step2: Identify maximum

Since $1260>1200 > 0$, the maximum profit is $1260$. The point $(6,12)$ gives this maximum, where $x = 6$ (number of chairs) and $y=12$ (number of sofas).

Answer:

The manufacturer can earn a maximum profit of $$1260$ by producing $6$ chairs and $12$ sofas.