a furniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa…

a furniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. the manufacturer earns a profit of $50 on each chair and $80 on each sofa. let x represent the number of chairs and y represent the number of sofas. choose the function that represents the manufacturer’s profit, p. p = 50x + 50y p = 50x + 80y p = 80x + 50y p = 130(x + y) done

a furniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. the manufacturer earns a profit of $50 on each chair and $80 on each sofa. let x represent the number of chairs and y represent the number of sofas. choose the function that represents the manufacturer’s profit, p. p = 50x + 50y p = 50x + 80y p = 80x + 50y p = 130(x + y) done

Answer

Explanation:

Step1: Identify profit per - item

Profit on each chair is $50 and on each sofa is $80.

Step2: Form profit function

If $x$ is the number of chairs and $y$ is the number of sofas, the profit function $P$ is the sum of the profit from chairs and the profit from sofas. The profit from chairs is $50x$ and from sofas is $80y$. So, $P = 50x+80y$.

Answer:

$P = 50x + 80y$