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.\np = 50x + 50y\np = 50x + 80y\np = 80x + 50y\np = 130(x + y)\ndone

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.\np = 50x + 50y\np = 50x + 80y\np = 80x + 50y\np = 130(x + y)\ndone

Answer

Explanation:

Step1: 利益の計算式を考える

利益は、チェアの利益とソファの利益の合計です。チェア1つあたりの利益は50ドル、チェアの数をxとするとチェアの利益は50xドル。ソファ1つあたりの利益は80ドル、ソファの数をyとするとソファの利益は80yドル。

Step2: 総利益の式を導出する

総利益Pはチェアの利益とソファの利益の和であるため、$P = 50x+80y$。

Answer:

P = 50x + 80y