1. Consider an LP where you have to determine how much/many ofeach product to manufacture; there in all, TWO products made fromthree ingredients. The ingredient usage matrix is as follows.Ingredint1 ingredint2 ingredient3 Product1 1 5 2.5 Product2 4 3 3Prices of products 1, and 2 are respectively, $65, $55 per unit.Prices of ingredients are respectively, $5, $2 and $4 per unit. Youhave to formulate an LP to maximize net profit. Product 1 cannotexceed 100 units; ingredient 2 cannot exceed 80 units inconsumption.
(a) Define variables (10 points) (You will use these variablesfor (b)-(d))
(b) Write the objective function. (15)
(c) Write the constraint on the amount of product 1. (10)
(d) Write the constraint ensuring that you do not plan on usingmore of ingredient 2 than you have available.
