Harry's Hockey House manufactures two types of neck guards, the Puck-Proof (P) and the Guardian (G)...

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Harry's Hockey House manufactures two types of neck guards, the Puck-Proof (P) and the Guardian (G) with each type being sold to retailers by the case. The revenue generated is R (P, G) = 18P + 22G and the manufacturing cost is C (P, G) = 2P2 + 8PG + G² - 80. The revenue and cost equations are in terms of hundreds of dollars while the variables P and G are in terms of cases of product. Due to restricted labor and material available, HHH must limit production to 2P + 4G ≤ 16. Determine the production scheme that will yield the optimal profit. When you report your final answer, state the solution in sentence form indicating number of cases of each guard to produce as well as the projected profit. Be sure to included the computations verifying answer is optimal. Report your answer as a sentence that is circled. Harry's Hockey House manufactures two types of neck guards, the Puck-Proof (P) and the Guardian (G) with each type being sold to retailers by the case. The revenue generated is R (P, G) = 18P + 22G and the manufacturing cost is C (P, G) = 2P2 + 8PG + G² - 80. The revenue and cost equations are in terms of hundreds of dollars while the variables P and G are in terms of cases of product. Due to restricted labor and material available, HHH must limit production to 2P + 4G ≤ 16. Determine the production scheme that will yield the optimal profit. When you report your final answer, state the solution in sentence form indicating number of cases of each guard to produce as well as the projected profit. Be sure to included the computations verifying answer is optimal. Report your answer as a sentence that is circled.