Solve by Linear Programming. LP Assignment 1 ( Be sure to show the graph of the feasible region, the appropriate vertices, and optimal value.) Exercise 1 LP 1. Maximize: C= 4x + 3y Constraints: x+ y=10 -x+yz5 2 x + 4y = 32 Solve the exercise. (Be sure to SHOW ALL WORK: the Objective function, Constraints, Graph, the feasible region, vertices (CP) and optimal solution in CONTEXT!) MAY I SUGGEST USING: GRAPH PAPER, COLORS, SYSTEMS OF EQUATIONS Desmos.com helps!Exercise 2 LP 2. Maximize: A manufacturer wants to maximize the profit of two products. Product X yields a profit of $ 2.00 per unit, and product Y yields a profit of $3.00 per unit. Market tests and available resources have indicated the following constraints: . The combined production level should not exceed 1200 units per month. . The demand for product Y is no more than half the demand for product X. . The production level of product X is less than or equal to 600 units plus three times the production level of product Y. Solve the application. (Be sure to SHOW ALL WORK: the Objective function, Constraints, Graph, the feasible region, vertices (CP) and optimal solution in CONTEXT!) READ