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A company sells its two products ABAB$5$8AB$0.5$1.5$0.5AB$3000 and . The prices of products and are and per unit respectively. The material costs for and are and per unit respectively. The labour charges of per unit is same for both of the products and. The fixed cost of the business is estimated as
(a) Formulate the total revenue function if and units are sold of product A and B respectively.
(b) Formulate the total cost function if and units are produced of product A and B respectively.
(c) Formulate the total profit function if and units are produced and sold of product A and B respectively.
(d) Calculate the total profit if 50,000 units of product A and 80,000 units of product B are produced and sold.
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