In: Statistics and Probability
Problem 7-37 (Algorithmic)
The New England Cheese Company produces two cheese spreads by blending mild cheddar cheese with extra sharp cheddar cheese. The cheese spreads are packaged in 12-ounce containers, which are then sold to distributors throughout the Northeast. The Regular blend contains 65% mild cheddar and 35% extra sharp, and the Zesty blend contains 75% mild cheddar and 25% extra sharp. This year, a local dairy cooperative offered to provide up to 8100 pounds of mild cheddar cheese for $1.30 per pound and up to 3500 pounds of extra sharp cheddar cheese for $1.50 per pound. The cost to blend and package the cheese spreads, excluding the cost of the cheese, is $0.30 per container. If each container of Regular is sold for $1.80 and each container of Zesty is sold for $2.10, how many containers of Regular and Zesty should New England Cheese produce? Do not round your interim computations. If required, round your answers to the nearest whole number.
Let R = | number of containers of Regular | |
Z = | number of containers of Zesty |
Optimal Solution: R = , Z = , profit = $ .
12 ounce = 0.75 pounds
Solution (Answer report)
Objective Cell (Max) | ||||
Cell | Name | Original Value | Final Value | |
$E$8 | Profit | 0 | 11340 | |
Variable Cells | ||||
Cell | Name | Original Value | Final Value | |
$C$3 | Value of R | 0 | 0 | |
$D$3 | Value of Z | 0 | 14400 |