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
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-> 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
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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):
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
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