Auto Forms Inc. manufactures fiberglass auto bodies that replicate vintage sports and luxury cars. The company has demands for the next three quarters, which must be met. Given the information provided in the table below, develop a LP production planning model that satisfies the customer demands, does not violate capacity constraints, and satisfies ending inventory requirements, if any. The company wishes to minimize the total cost of achieving these requirements. Each auto body must be produced as an entine unit. Beginning Ending Inventory Production Capacity QuarterInventory Demand Production Cost Cost per UnitpSrquarter $10,000 $11,000 $12,100 325 350 400 $40 $50 S60 350 300 450 100 a. Explain your variables in English.( b. Write out the objective function.( points) c Write out the constraints for this L.P problem. (5 points) D. Solve for the optimal solution to this problem using SOLVER. (s points) E. What is the optimal solution? (3-points)