The Fruit & Vegetable Store is a store that specializes in selling fresh fruit and vegetables. It

sells a gourmet variety of fresh tomatoes, costing $$3\mathrm{.}15$ per pound and selling for a price of

$$4\mathrm{.}35$ per pound. The tomatoes are delivered at the beginning of a week. At the end of each

week any left$-$over tomatoes are sold to a wholesaler for $$1\mathrm{.}65$ per pound. Based on recent

history, the weekly demand for the tomatoes in pounds is given by the following distribution:

Demand $1011121314151617181920$

Probability $3\%6\%9\%11\%12\%15\%16\%13\%8\%5\%2\%$

The manager has decided to limit her$/$his choices to ordering either $12,15,$ or $18$ pounds of

the tomatoes. She has asked you to recommend what she should do$.$ Answer the following

questions.