Consider a warehouse with limited storage space and four different types of prod

ucts available for stocking. The warehouse manager wants to determine the opti

mal number of items to stock to maximize the total revenue generated from sales.

The table below shows the unit price and storage space requirements for each

product:

Product Unit Price $($$$)$ Storage Space $($sq$.$ ft$)$

$1$

$6$

$2$

$3$

$4$

$5$

$7$

$3$

$15$

$14$

$16$

$10$

Find the mathematical model of the problem to determine the number of units

of each product that should be stocked in the warehouse to maximize the total

revenue while ensuring that the total storage $500($sq$.$ft$)$ used as an available

capacity.