Question
Formulate a linear programming problem for the following situation.
Homer Simpson has created two donut assortments for the the Springfield donut shop. The bargain assortment includes 4 pink frosted and 8 glazed donuts and the deluxe assortment contains 9 pink frosted and 3 glazed donuts. The donut shop has 300 pink frosted and 400 glazed donuts to make its assortments. Each bargain assortment makes a profit of $4 and each deluxe assortment makes a profit of $6. How many of each assortment should Homer make in order to maximize the profit?
Homer Simpson has created two donut assortments for the the Springfield donut shop. The bargain assortment includes 4 pink frosted and 8 glazed donuts and the deluxe assortment contains 9 pink frosted and 3 glazed donuts. The donut shop has 300 pink frosted and 400 glazed donuts to make its assortments. Each bargain assortment makes a profit of $4 and each deluxe assortment makes a profit of $6. How many of each assortment should Homer make in order to maximize the profit?
Answers
Steve
If there are x bargain boxes and y deluxe boxes, you want to
maximize p = 4x + 6y where
4x+9y <= 300
8x+3y <= 400
Now use your favorite solution method or tool, and you find max p when
x=45
y=13
http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html
is a nice tool. It will solve the setup, and even graph it for you.
maximize p = 4x + 6y where
4x+9y <= 300
8x+3y <= 400
Now use your favorite solution method or tool, and you find max p when
x=45
y=13
http://www.zweigmedia.com/RealWorld/LPGrapher/lpg.html
is a nice tool. It will solve the setup, and even graph it for you.