Penzak Pilots is contracted to deliver onions to three locations (Heritage, Windermere, and Mill Woods) from the packing facility in the Stone Industrial District. The shipping cost for delivering each case of onions to Heritage is $18, Windermere is $17, and Mill Woods is $23. The contract stipulates that at least 35% of the onions must be delivered to Mill Woods. However, Windermere is offering $53 per case of onions. The other two locations only offer $26 per case. The budget allocated for shipping is $23,000. How should Penzak distribute the 540 cases of onions that they have on hand to maximize their profit.

Please create the algebraic formulation for solving this as a linear programming problem. Hint: Identify you decision variables, formulate your objective function, and formulate your constraints. Please enter your formulation in the space below: