1. High Note Sound Company (HNSC) manufactures quality CD players and stereo receivers. Each product requires skilled craftsmanship. The following is the LP problem formulation of the company: Deparine Star 259 Fall 20 Max z (Profit) Subject 12 X₁: Number of CD players to be made X2: Number of receivers to be made $50x1 + $120x2 to 2x1 3x1 + + x2 X1, X2 4x S80 (Hours of electricians' time available) S 60 (Hours of audio technicians' time available) ≥ 0 (Non-negativity constraints) الناحية 1 Hig a. The HNSC company wants to determine the number of CD players and receivers that would yield the highest profit? Write the plan production. Departm Stat 250 b. Keeping all other factors the same, how much would the optimal value of the profit change if the hours of electricians time increase by one unit? If unit profit per stereo receiver (x2) increased from $120 to $150, will the optimal solution remain unchanged? And what would be the profit?