Problem 1 (5 points) The manager of the deli section of a grocery superstore has just learned that the department has 140 pounds of mayonnaise, of which 84 pounds is approaching its expiration date and must be used. To use up the mayonnaise, the manager has decided to prepare two items: ham spread and deli spread. Each pan of the ham spread will require 2.8 pounds of mayonnaise, and each pan of the deli spread will require 2.0 pounds. The manager has received an order for 12 pans of ham spread and 10 pans of the deli spread. In addition, the manager has decided to have at least 10 pans of each spread available for sale. Both spreads will cost $3 per pan to make, but ham spread sells for $7 per pan and deli spread sells for $5 per pan. Convert this word problem into an LP model. Then SOLVE this problem using the graphical solution method. Hints: Note that there are two objective functions. One would be where you maximize your profits. The other objective function is to minimize costs. The constraints remain the same for both objective functions. You MUST show all your work/algebra for the graphical solution method to receive credit. The feasible region will have 3 sides and hence 3 corner points