PLEASE ANSWER USING LANGRAGE MULTIPLIERS, IF YOU USE EXCEL SHOW WORK!

A local outdoor vegetable stand has exactly 1000 square feet of space to display three vegetables: tomatoes, lettuce and zucchini. The appropriate data for these items are given in the following table. 26. The setup cost for replenishment of the vegetables is 100 dollars in each case, and the space consumed by each vegetable is proportional to its cost with tomatoes requiring 0.5 square foot per pound. The annual interest rate used for computing holding cost is 25 percent. What are the optimal quantities that should be purchased of these three vegetables? 28. Suppose that in problem 26 the space consumed by each vegetable is not proportional to its cost. In particular suppose that one pound of lettuce requires 0.4 square foot of space, and one pound of zucchini requires one (1) square foot of space. Determine upper and lower bounds on the optimal values of the order quantities in this case. Test different values of the multiplier to find the optimal values of the order quantities