# Thread: Really could use some help with this one...

1. ## Really could use some help with this one...

A clothing manufacturer has 100m of silk and 180m of wool. To make a suit requires 2m of silk and 3m of wool, and to make a dress requires 1m of silk and 2m of wool. If the profit on a suit is $108 and the profit on a dress is$60, how many suits and dresses should the manufacturer make to maximize the profit?

I can't seem to get it. I tried the following but I get stuck big time:

silk = 100 m
wool = 180 m

suit = 2 meters of silk and 3 meters of wool
dress = 1 meters of silk and 2 meters of wool

profit = (108)*(# of suit sold) + (60)*(# of dress sold)

2. Consider the following, make D = the number of dresses made and S = the number of siuts made

Silk: $\displaystyle D+2S \leq 100$

Wool: $\displaystyle 2D +3S \leq 180$

Sketch these on a cartesian plane with S and D axis.

Then check corner points for $\displaystyle P = 60D+108S$