SOLUTION: 7. The top two dolls that a toy manufacturer makes are called Baby Wiggles and Sleepy Baby. To make a case of Baby Wiggles takes 10 units of raw material and I unit of time to as

Question 1189900: 7. The top two dolls that a toy manufacturer makes are called Baby Wiggles and
Sleepy Baby. To make a case of Baby Wiggles takes 10 units of raw material
and I unit of time to assemble. To make a case of Sleepy Baby takes 6 units of
raw material and 2 units of time to assemble. On a given day the manufacturer
has at most 300 units of raw material and 44 units of time. If the manufacturer
makes a profit of $170 on each case of Baby Wiggles and $140 on each case
of Sleepy Baby, how many cases of each type of doll should the manufacturer
make in order to maximize profit?
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

Let the number of BW manufactured be represented by

and the number of SB manufactured be represented by

, then the profit function must be

Since there are at most 300 units of raw material, constraint 1 is

Since there are at most 44 time units, constraint 2 is

Since you cannot make a negative number of anything, constraints 3 and 4 are

and

Graph the four constraint inequalities on an

coordinate axes. The four solution sets will overlap in a quadrilateral that represents the feasibility area for the problem. One of the vertices of the quadrilateral will be the optimum solution. Test each of the vertices in the profit function and select the set of values that provides the maximum profit.

John

My calculator said it, I believe it, that settles it

From
I > Ø

RELATED QUESTIONS
7. The top two dolls that a toy manufacturer makes are called Baby Wiggles and Sleepy... (answered by Theo,ikleyn)

The top two dolls that a toy manufacturer makes are called Baby Wiggles and Sleepy... (answered by Theo,greenestamps)

I tried to solve this and I have had problems. I have got 3 equations so far. There is... (answered by stanbon)

A mother gives birth to a 6 pound baby. Every 2 months, the baby gains 2 pounds. If x... (answered by solver91311,josgarithmetic)

A manufacturer of baby powder claims that 20% of the mothers prefer brand A baby powder.... (answered by harpazo)

The sum of the heights of a giraffe and a baby giraffe is 15 meters. If the baby giraffe... (answered by josgarithmetic)

When rats give birth, the weight of each baby varies inversely with the number of young.... (answered by stanbon)

A mother rabbit has twelve baby bunnies. Six of the babies are brown, six of the babies... (answered by Edwin McCravy)

726 births consisted of 668 baby girls and 58 baby boys. What is the probability of a... (answered by stanbon)