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Questions: Consider the demand function is and the total cost function is.Use of MATHEMATICA (or of any other software) is recommended. Choose any of the projects and answer the question for your selected project at the end of this document.
1. Develop a 2D plot for demand versus the price.
2. Develop a 2D plot for average cost versus the quantity.
3. Compute the demand elasticity when price equal to 1.
4. Compute the marginal cost when the quantity is equal 1.
5. Develop the profit function.
6. Find the quantity that maximizes the total profit.
7. What is the price that maximizes the profit?
8. What is the maximum profit?
a ladder 22 feet long leans against the side of a house. suppose the angle of elevation is 70 degrees.a find the height
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In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats.
A windshield wiper that is 2 feet long sweeps through an angle of 157°. What is the distance traveled by the tip of the wiper?
Design a rectangular milk carton box of width w, length l, and height h which holds 620 cm3 of milk. The sides of the box cost 3 cents/cm2 and the top and bottom cost 6 cents/cm2. Find the dimensions of the box that minimize the total cost of mate..
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Hypothesis test for single mean
Is the solution unique?
Solve this equation numerically and numerical methods by explicit or implicit methods or crank niclson method
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Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 5.5 mi2/hr. How rapidly is radius of the spill increasing when the area is 11 mi2?
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