Question 1189901
x = the number of cases of baby wiggles
y = the number of cases of sleepy baby.


baby wiggles takes 10 units of raw material and 1 unit of time to assemble.
sleepy baby takes 6 units of raw material and 2 units of time to assmble.


on a given day, the manufacturer has at most 300 units of raw materials and 44 units of time available.


the manufacturer makes a profit of 170 on each case of baby wiggles and 140 on each case of sleepy baby.


your constraint inequalities are:


10x + 6y <= 300
x + 2y <= 44
x >= 0
y >= 0


your objective function is:


profit = 170 * x + 140 * y


using the desmos.com calculator, you would graph the opposite of the constraints and then evaluate the objective function at the corner poinjts of the feasible region.


the feasible region is the area on the graph that is not shaded.


here's what the graph looks like.


<img src = "http://theo.x10hosting.com/2022/012201.jpg" >


all constraints need to be met.
at the maximum profit point of (24,10), .....
10x + 6y = 240 + 60 = 300 which is <= 300
x + 2y = 24 + 20 = 44 which is <= 44.
this confirms all the constraints are met.


your maximum profit is when 24 cases of baby wiggles and 10 cases of sleepy baby are manufactured and sold.