Question

You have opened Hippie Outfitters Clothing Manufacturing Company and make specialized embroidered bell bottoms and skirts. "The bell bottoms require 4 yards of material and 3 hours of time to make. The skirts require 3 yards of material and 5 hours of time to make (there is lots of embroidery). " "You have 420 yds of material and 450 hours available on the schedule. If the profit margin on the bell bottoms is $65 and the profit margin on the skirts is $85, how many bell bottoms and skirts should you order? "

Answer 1

Let the variables x and y represent the number of belly bottoms and skirts ordered respectively.

The profit function would be given by,

The length constraint would be given by,

The time constraint would be given by,

Also the number of cloths must be non-negative. Hence we have two more constraint equation.

Now we will graph these constraints to find the boundary points.

Now we will find the profit function for the boundary points.

Point	(x,y)	Profit
A	(68.18,49.09)	8604.35
B	(0,90)	7650
C	(105,0)	6825

Hence we should order 68 bell bottoms and 49 skirts.