## A jeweler and her apprentice make silver pins and necklaces byhand. Each week th

A jeweler and her apprentice make silver pins and necklaces byhand. Each week they have 80 hours of labor and 36 ounces of silveravailable. It requires 8 hours of labor and 2 ounces of silver tomake a pin and 10 hours of labor and 6 ounces of silver to make anecklace. Each pin also contains a small gem of some kind. Thedemand for pins is no more than six per week. A pin earns thejeweler \$400 in profit and a necklace earns \$100. The jewelerwants to know how many of each item to make each week to maximizeprofit. a. Formulate an integer programming model for this problem.b. Solve this problem by using the computer. 5. A transportationproblem involves the following costs supply and demand. To From 12 3 4 Supply 1 \$500 \$750 \$300 \$450 12 2 650 800 400 600 17 3 400700 500 550 11 Demand 10 10 10 10 a. Formulate a linear programmingmodel for this problem. b. Solve this transportation problem byusing the computer.