7. (7 pts) Mr. Potter now owns two small pottery studios, one in Canada and one in Mexico. The Canadian studio can produce 10 mugs per day and the studio in Mexico can produce 17 mugs per day. The pottery then gets shipped via plane to markets in Ireland, Brazil, and Iceland, each market demands 5, 8, and 12 mugs respectively. Due to the current cost of airfare Mr. Potter thinks it may be cheaper to first fly the mugs to either Morocco, Italy, or France and then to fly them to their final destination. Mr. Potter wants to minimize the total cost of shipping. a. (4 pts) How many decision variables will this LP have based on the information above? b. (3 pts) Will there be balance constraint(s) associated with this LP? If so, write the balance constraint(s) out algebraically. If not, why