MATHEMATICAL MODELING
The company manufactures two types of product A and B made of plastic. The company received 3,000 lbs recycled plastic of product A and 10,800 lbs recycled plastic of product B. The company also receives industrial plastic of 24,000 lbs per month. Costing $ 0.80, $ 0.60, $ 0.50 per lb respectively. There is a demand of 6400 pieces of product A, 128,000 pieces of product B for a month. Product A requires 1.5 lbs of plastic, and costs $ 30 to produce and can be sold for $ 84. Product B requires 0.025 lbs of plastic and cost $ 0.54 to produce and can sell for $ 1.20. The company can only use 33% recycled plastic for product A and 65% for the product B. Determine the optimal combination of products to get the maximum profit