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 manufacturers 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 manufacturers profit, p. p = 50x + 50y p = 50x + 80y p = 80x + 50y p = 130(x + y) done

Answer

Explanation:

Step1: Identify profit per - item

Profit per chair is $50 and number of chairs is $x$, so profit from chairs is $50x$. Profit per sofa is $80 and number of sofas is $y$, so profit from sofas is $80y$.

Step2: Form profit function

Total profit $P$ is sum of profit from chairs and sofas. So $P = 50x+80y$.

Answer:

$P = 50x + 80y$