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Application of differential calculus in economics: Profit, Cost and Revenue function.
The total cost C(q) = of production goods as given by,
C(q) = 0.01q3 - 0.6q2 + 13q
(a) What is the fixed cost?
(b) What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
(c) Suppose exactly 34 goods are produced. They all sell when the price is $7 each, but for each $1 increase in price, 2 fewer goods are sold. Should the price be raised, and if so by how much?
an open box is to be constructed from a square piece of material by cutting a 3-inch square from each corner. Find the dimensions of the square piece of material if the box is to have a volume of 363 cubic inches.
Lucky Charms has one of six different watches for prizes inside their box of cereal. If you were to purchase 60 boxes, what are the chances that you will collect all six?
Sketch the graph of the solid bounded by Z^2 = X^2 + 4Y^2 and the Plane Z = 1, and hence evaluate its volume by triple integration.
Fred invests $3000 more in an account that pays 4% simple interest than he invests in an account that pays 3% simple interest. If the total interest earned for the first year is $610, how much did Fred invest in each account?
Define, in your own words, a rational expression. Describe the process for finding an equivalent rational expression. Explain why it might be necessary to find an equivalent rational expression, and give an example.
In how many ways can all the trees be distributed and planted if the trees are distinct, any family can get any number, and a family must plant its trees in an evenly spaced row along the road?
A building is 479 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 21 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Find the indicated probability. A study conducted at a certain college shows that 54% of the school's graduates find a job in their chosen field within a year after graduation.
Put a ring around the equator. Now, cut it, enlarge it by 6 feet, and put it back. How far out from the earth will it be? (The Earth's radius is 4000 miles.) a) a negligible amount. b) a ladybug might be able to crawl underneath the ring.
A total of 393 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?
what is the difference between the sum of two addends and the estimate of that sum in problem #6. 2667+162=
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
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