Joy and Kim have normal 9-5 jobs during the week. On the weekends, they have a side hustle where they make wooden toys and sell them on Etsy. Joy does the woodwork, and then Kim paints the toys. Joy can work at most 4 hours over the weekend, and Kim can work at most 6 hours over the weekend. Production data is below. Toy Name Material Cost Selling Price Woodwork time Paint time Car $2/toy $9/toy 5 minutes/toy 4 minutes/toy Soldier $2/toy $11/toy 5 minutes/toy 8 minutes/toy Train $3/toy $13/toy 5 minutes/toy 6 minutes/toy Joy and Kim are trying to determine what to produce on an average weekend to maximize their profit. Formulate a linear program for this problem. Clearly define your decision variables and any indices/parameters that you use. Also, be sure to write out your objective function and constraints “in words” and “in math”. Do not solve the LP.