Par Inc. manufactures two lightweight Motorcycles, Par-rider and Lady-sport. Par Inc. produces the engines for both models at its Des Moines plant. Each Par-rider engine requires 6 hours of manufacturing time, and each Lady-sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2100 hours of engine manufacturing time available for the next production period. The supplier can only provide up to 300 Lady-sport for the next production period, but there is no limitation for Par-rider engine production. Final assembly and testing require 2 hours for each Par-rider model and 3 hours for each Lady-sport model. A maximum of 1000 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $2400 for each Par-rider produced and $1500 for each Lady-sport produced.

Formulate the model to maximize the profit. Solve the problem graphically. What is the optimal solution? Show all your calculations.