Q: A small tie shop sells ties for $3.50 each
A small tie shop sells ties for $3.50 each. The daily cost function is estimated to be C(x) dollars, where x is the number of ties sold on a typical day and C(x) = .0006x3 - .03x2 + 2x + 20. Find the...
See AnswerQ: The demand equation for a certain commodity is p =
The demand equation for a certain commodity is p = 1/12 x2 - 10x + 300, 0 ≤ x ≤ 60. Find the value of x and the corresponding price p that maximize the revenue.
See AnswerQ: The demand equation for a product is p = 2 - .
The demand equation for a product is p = 2 - .001x. Find the value of x and the corresponding price, p, that maximize the revenue.
See AnswerQ: Some years ago, it was estimated that the demand for steel
Some years ago, it was estimated that the demand for steel approximately satisfied the equation p = 256 - 50x, and the total cost of producing x units of steel was C(x) = 182 + 56x. (The quantity x wa...
See AnswerQ: Consider a rectangle in the xy-plane, with corners at
Consider a rectangle in the xy-plane, with corners at (0, 0), (a, 0), (0, b), and (a, b). If (a, b) lies on the graph of the equation y = 30 - x, find a and b such that the area of the rectangle is ma...
See AnswerQ: Until recently hamburgers at the city sports arena cost $4 each
Until recently hamburgers at the city sports arena cost $4 each. The food concessionaire sold an average of 10,000 hamburgers on a game night. When the price was raised to $4.40, hamburger sales dropp...
See AnswerQ: The average ticket price for a concert at the opera house was
The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was raised to $52, attendance declined to an average of 3800 persons per perfo...
See AnswerQ: Draw the graph of f (x) = 1/6
Draw the graph of f (x) = 1/6 x3 – 5/2 x2 + 13x - 20 in the window [0, 10] by [-20, 30]. Algebraically determine the coordinates of the inflection point. Zoom in and zoom out to convince yourself that...
See AnswerQ: An artist is planning to sell signed prints of her latest work
An artist is planning to sell signed prints of her latest work. If 50 prints are offered for sale, she can charge $400 each. However, if she makes more than 50 prints, she must lower the price of all...
See AnswerQ: A swimming club offers memberships at the rate of $200,
A swimming club offers memberships at the rate of $200, provided that a minimum of 100 people join. For each member in excess of 100, the membership fee will be reduced $1 per person (for each member)...
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