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(a) A firm produces two different kinds A and B of a commodity. The daily cost of producing x units of A and y units of B is
C(x, y) = 2x2 - 4xy + 4y2 - 40x - 20y + 514
Suppose that the firm sells all its output at a price per unit of $24 for A and $12 for B. Find the daily production levels x and y that maximize profit.
(b) The firm is required to produce exactly 54 units per day of the two kinds combined. What now is the optimal production plan?
Rich is not reinvesting the interest, so the value of his investment appreciates linearly. He would like to switch to a continuously compounded investment that returns 6.25% per year. How long should he hold his bond before he sells it for face va..
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Determine which ordered pair is a solution of the system -2x - y^2 = 4 -3x + y = 10
What is remainder when 1n +8n -3n -6n is divided by 10?
organizations sometimes want to go beyond describing the data and actually perform some type of inference on the data.
If C is the curve given parametrically by R(t)=cost(i)+sint(j)+2t(k) find the normal N and the binormal B for this curve @ t=0
The temperature u in a star of conductivity 2 is inversely proportional to the distance from the center: u=(2/sqrt(x^2+y^2+z^2)). If the star is a sphere of radius 1, find the rate of heat flow outward across the surface of the star.
Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Consider the situation you addressed in Prob- lem and Exercise 3. Create numeric cost esti- mates for each of the costs you listed. Calculate the net present value and return on investment. Include a break-even analysis. As- sume a 10 percent disc..
fixed axis has an angular position given by theta = 3.0 - 2.0t3, where theta is measured in radians and t in seconds. What is the angular acceleration of the wheel at t = 2.0 s?
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
Each of four friends orders a sweatshirt from a catalog. There are 15 colors of sweatshirts, 6 of which are all cotton and 9 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends o..
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