4. Refer to the High Tech Industries problem. If we add the constraint that the production of both models must be at least 25 units, explain why that does not change the final solution. 5. Refer to the High Tech Industries problem and the new constraint added by problem #4. State the basic starting solution after adding in the correct slack, surplus, and artificial variables. State the objective function. Graphically, where are we starting? Explain how/why this solution is not feasible. High Tech Industries High Tech Industries imports electronic components that are used to assemble two different models of personal computers. One model is called the HT Deskpro Computer and the other is called the HT Portable Computer. High Tech's management is currently interested in developing a weekly production schedule for both of these products. The Deskpro generates a profit contribution of $50 per unit and the Portable genreates a profit of $40 per unit. For the next week's production a maximum of 150 hours of assembly time can be made available. Each unit of the Deskpro requires 3 hours of assembly time and each unit of the Portable requires 5 hours assembly time. In addition, High Tech currently has in inventory only 20 of the display units used in the Portable; thus no more than 20 units of the Portable may be assembled. Finally, only 300 square feet of warehouse space can be made available for new production of these products. Each unit of the Deskpro requires 8 square feet of warehouse space and each unit of the Portable requires 5 square feet of warehouse space. Max: 2 = 50r1 + 40x2 s.t. 3r1 +5r25 150 12 20 8r +522