A Warehouse Stocks Five Different Products,A,B,C,and D Each Product Must Have at Least 10,000 Ft²,and No Single

Essay

A warehouse stocks five different products,A,B,C,and D.The warehouse has a total of 100,000 square feet of floor space available to accommodate all the products that it inventories.The monthly profit per square foot for each product is as follows:
$$\begin{array}{l}\underline{\text { Product }} \quad\underline{ \text { Profit per square foot }}\\\begin{array} { l l } \mathrm { A } && &&\$ 4.50 \\\mathrm {~B} &&&& \$ 3.00 \\\mathrm { C } && &&\$ 2.75 \\\mathrm { D } &&&& \$ 3.75\end{array}\end{array}$$
Each product must have at least 10,000 ft²,and no single product can have more than 25% of the total warehouse space.The warehouse manager wants to know the floor space that should be allocated to each product to maximize profit.