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# given x q and y q prove that x y q you may use without proof the

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ference, and product of integers is an integer. 4. Given: x ∈ R. Prove: 9x 2 + 5 > 12x. At the idea stage, reduce the given inequality by setting it to 0. Then, it should be helpful to complete the square.
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ind ε when p = 8 .The supply for a particular item is given by the function S ( x ) = 15 + 7 x . Find the producer's surplus if the equilibrium price of a unit \$ 99 .
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producer's surplus if the equilibrium price of a unit \$ 99 .A retailer anticipates selling 7600 units of its product at a uniform rate over the next year. Each time the retailer places an order for x units, it is charged a flat fee of \$ 100 . Carrying costs are \$ 38 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? For a particular commodity, the demand function is q = 1 4 ( 400 − p 2 ) . a . Find ε when p = 8 .A hotel rents 240 rooms at a rate of \$ 60 per day. For each \$ 1 increase in the rate, three fewer rooms are rented. Find the room rate that maximizes daily revenue.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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