J&J Toy Company produces two dolls, the male Jack doll and the female Jill doll. Both dolls are made from plastic and come with a variety of outfits in standard packages. The Jack doll requires 4 ounces of plastic as compared to 3 ounces for the Jill doll. The Jill doll is packaged with 2 square feet of cloth as compared to only 1 square foot of cloth for the clothes packaged with the Jack doll. The Jill doll is priced to net a unit profit of $7 on each doll while each Jack doll only nets a profit of $5. In a typical week, J&J will have: · At most 4000 square feet of cloth for clothes. · At most 9600 ounces of plastic. · Production time to make at most 2600 dolls, including both Jack and Jill dolls. Assume that the production quantities of Jack and Jill dolls can be fractional. Formulate J&J’s production schedule problem as a linear programming model. Implement this problem into excel and solve for the optimal solution.

What is the optimal production quantity of male jack doll?

What is the optimal profit?