The shaper is available for 120 hours and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold but up to 1000 units of each of the other components can be sold. In fact the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1 2 and 3 are $8 $6 and $9 respectively.a. Formulate and solve for the recommended production quantities.b. What are the objective coefficient ranges for the three components? Interpret these ranges for company management.c. What are the right-hand-side ranges? Interpret these ranges for company management.d. If more time could be made available on the grinder how much would it be worth?e. If more units of component 3 can be sold by reducing the sales price by $4 should the company reduce theprice?