TOY PRODUCTION
Response to the following problem:
J&J Toy Company produces two dolls that are popular with young girls, 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 is slightly larger requiring 4 ounces of plastic as compared to 3.5 ounces for the Jill doll. Because the Jill doll is packaged with more clothes, it uses 2 linear feet of cloth as compared to only 1 linear foot of cloth for the clothes packaged with the Jack doll. Due to the popularity of the Jill doll, it 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 the following resources:
• 4200 square feet of cloth for clothes
• 600 pounds of plastic
• production time to make at most 3000 dolls
What production quantities do you recommend for weekly production of Jack and Jill dolls? What is the expected weekly profit?