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A company is planning to manufacture and market a new four-slice toaster. For this toaster, the research department's estimates are a weekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department's estimates are fixed weekly costs of $5000 and variable costs of $5 per toaster.
(a) Assume that the relationahip between price p and demand x is linear. Use the research department's estimates to express p as a function of x, and find the domain of this function.
(b) Find the revenue function R(x) from the sale of x pairs of running shoes, and state its domain.
(c) Evaluate the marginal revenue at x=325 and x=425 and interpret the results.
These short answer questions is basically belong to Mathematics. The 1st question is about sketching a graph for an absolute value. The 2nd question is about sketching an algebraic equation.
three wheels wrapped tightly together with a belt, each wheel has a radius of 10 cm. What is the length of the belt to the nearest mm?
Use Lagrange multipliers to show that the shortest line segment connecting P to the sphere is that which extends through the center of the sphere.
Assume that a particle is at the location L = (2, 3) and is moving with the velocity V = (1, -2). Assume that there is a mirror that connects the point P1 = (4, 0) to the point P1 = (0, 3). How fast the particle and its image on the mirror are gett..
An Employee made $388 for the week and sold $103 in product. If the employee gets 20% commission on the products sold and with holding tax is $38 how much is the employees take home pay?
Assume that if toothbrushes are sold at x cents each and dental floss is sold at y 50000 70000 cents per roll, then the demand function is for toothbrushes and for xy xy dental floss. What are the selling prices that correspond to maximum profit?
write each ratio as a fraction in simplest form.
The least common denominator of two fractions is 28. If u subtract the two denominators their difference is 10. What are the enominators
Imagine you are in the market for a new home and are interested in a new housing community under construction in a different city.
Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = 8 sin x + 8 cos x, [0,2π]. Describe the concavity.
Find n! For n equal to each of the first ten positive integers and use mathematical induction to prove that x - y is a factor of xn - yn, where x and y are variables.
suppose one test item was molded from a single batch of plastic and the hardness of this item was measured at 16 different points in time. Discuss the effect of conducting the described experiment on the error term.
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