Question

With the start of school approaching, a store is planning on having a sale on school materials. They have 1500 notebooks, 800 folders and 1000 pens in stock, and they plan on packing it in three different forms. In the package A, there will be 3 notebooks, 1 folder and 2 pens, and in the package B, 4 notebooks, 2 folder and no pen, and in the package C, 2 notebooks, no folder and 3 pens. The price of each package will be $7.50, $11.00, and $5.00 respectively. Also to balance the number of packages of each type, they don’t want the number of package A has more than total amount of package B and package C. There should be no more than 120 packages of package B. Package B is no less than package C. How many packages should they put together of each type to obtain the maximum the total possible sale dollars? Formulate a linear programming model for the problem, but do not need solve it.

          With the start of school approaching, a store is planning on
having a sale on school materials. They have 1500 notebooks, 800
folders and 1000 pens in stock, and they plan on packing it in
three different forms. In the package A, there will be 3 notebooks,
1 folder and 2 pens, and in the package B, 4 notebooks, 2 folder
and no pen, and in the package C, 2 notebooks, no folder and 3
pens. The price of each package will be $7.50, $11.00, and $5.00
respectively. Also to balance the number of packages of each type,
they don’t want the number of package A has more than total amount
of package B and package C. There should be no more than 120
packages of package B. Package B is no less than package C. How
many packages should they put together of each type to obtain the
maximum the total possible sale dollars? Formulate a linear
programming model for the problem, but do not need solve it.

Added by Tiffany P.

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