Kirkman Brothers ice cream parlors sell three different flavors of Dairy Sweet ice milk: chocolate, vanilla, and banana. Due to extremely hot weather and a high demand for its products, Kirkman has run short of its supply of ingredients: milk, sugar, and cream. Hence, Kirkman will not be able to fill all the orders received from its retail outlets, the ice cream parlors. Due to these circumstances, Kirkman decided to make the most profitable amounts of the three flavors, given the constraints on supply of the basic ingredients. The company will then ration the ice milk to the retail outlets.
Kirkman collected the following data on profitability of the various flavors, availabil- ity of supplies, and amounts required for each flavor.
|
|
Profit /
|
Milk
|
Usage/GallonSugar
|
Cream
|
|
Flavor
|
Gallon
|
(gallons)
|
(pounds)
|
(gallons)
|
|
Chocolate
|
$1.00
|
0.45
|
0.50
|
0.10
|
|
Vanilla
|
$0.90
|
0.50
|
0.40
|
0.15
|
|
Banana
|
$0.95
|
0.40
|
0.40
|
0.20
|
|
Maximum available
|
|
200
|
150
|
60
|
Determine the optimal product mix for Kirkman Brothers. What additional resources could be used profitably?