Can you please solve this without excel?

A manufacturing company produces two products on two mchines. A unit of product 1 requires 2 hours on machine 1 and 1 hour on machine 2. For product 2, a unit requires 1 hour on machine 1 and 3 hours on machine 2 . The revenues per unit of products 1 and 2 are $30 and $20, respectively. The total daily processing time available for each machine is 8 hours. a) Determine the optimal number of units of products 1 and 2 that should be produced in each day in order to maximize the total revenue. b) Suppose that the unit revenues for products 1 and 2 are changed to $35 and $25, respectively. Will the current optimal solution remain the same? Why? c) Suppose that the unit revenue of product 2 is fixed at its current value of c2=$20. What is the associated range for c1, the unit revenue for product 1 that will keep the current optimal solution unchanged? Problem 2 Solve the following linear programming problem using the dual simplex method: MinimizeZsubjectto3x13x1x1x1,=3x1+x2+3x2+x2x2,+2x2+x3+x3+x3x3+x33630