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 $<u> </u> by producing <u> </u> chairs and <u> </u> 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 $<u> </u> by producing <u> </u> chairs and <u> </u> sofas. done

Answer

Answer:

  1. Maximum profit: $1260
  2. Number of chairs: 6
  3. Number of sofas: 12

Explanation:

Step1: Compare profit values

Compare $0$, $1200$, $1260$.

Step2: Identify maximum

The maximum value is $1260$ which occurs at the point $(6, 12)$. So, 6 chairs and 12 sofas should be produced for maximum profit.