Question: 1 The demand equation for a certain item is p =14 - and the cost equation is C(x) = 7,000 + 4x. Find the marginal

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1 The demand equation for a certain item is p =14 -and the cost equation is C(x) = 7,000 + 4x. Find themarginal profit at a production level of 3,000 and interpret the result.

The demand equation for a certain item is p =14 - and the cost equation is C(x) = 7,000 + 4x. Find the marginal profit at a production level of 3,000 and interpret the result. X 1,000 . $7; at the 3,000 level of production, profit will increase by approximately $7 for each unit increase in production. . $14; at the 3,000 level of production, profit will increase by approximately $14 for each unit increase in production. . $4; at the 3,000 level of production, profit will increase by approximately $4 for each unit increase in production. o o0 W . $16; at the 3,000 level of production, profit will increase by approximately $16 for each unit increase in production. The demand x is the number of items that can be sold at a price of $p. Forx= p2 4p+ 1000, find the rate of change of p with respect to x by differentiating implicitly. () The rate of change of the price p with respect to the demand x is |: Evaluate dy and Ay for the function below at the indicated values. y = f(x) = 44 1 - - ; x = 2, dx = Ax= - 0.125 X dy = Ay = (Round to the nearest hundredth as needed.)

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