Problem 3. (28 points) A person requires between 20 and 28 units of chemicals A, B and C, respectively, for his garden. A liquid product contains 5, 2, and 1 units of A, B and C, respectively, per jar. A dry product contains 1, 2, and 4 units of A, B and C, respectively, per carton. If the liquid product is sold for $3 per jar and the dry product is $2 per carton, how many of each should be purchased to minimize the cost and meet the requirements? 1. Set-up the resulting linear programming problem and numerically solve. 2. How sensitive is the number of jars of liquid product and the number of carton of dry product to the cost of each type? What would happen if the cost per jar were to increase, everything else unchanged? What would happen if the cost per jar were to decrease, everything else unchanged? What would happen if the cost per carton were to increase, everything else unchanged? What would happen if the cost per carton were to decrease, everything else unchanged