Variables and Constraint Equations

Each variable in our linear program represents the quantity of each item that is available for distribution every month.

The total price of the food items is constrained by the budget, which is our first constraint e Every month, "Food for All" uses about $1800 to purchase food. According to the director of the company, every week the budget is S450, and last year as a whole, "Food for All used $23,400 Using the food order list from last month and the price that we collected, we calculated that total price of all the food available at last month's pantry is $2000.00 before discount. With the exact same price, items and availability constraints we want to see what combination of refreshments and snacks can we prepare for our care packages each week. Respectively, for each refreshment they sell for S0.25 and snacks sell for S0.50. We believe we should buy no more than 900 Refreshments and 500 Snacks. How should we evenly split the groceries per week?