Can somebody help me answer 25 math question for 400 points and i will answer all your questions?

You are the manager of a firm that produces output in two plants. the demand for your firm's product is p = 20 − q, where q = q1 + q2. the marginal costs associated with producing in the two plants are mc1 = 2 and mc2 = 2q2. how much output should be produced in plant 1 in order to maximize profits?

The 2016 financial statements of the new york times company reveal average shareholders’ equity attributable to controlling interest of $837,283 thousand, net operating profit after tax of $48,032 thousand, net income attributable to the new york times company of $29,068 thousand, and average net operating assets of $354,414 thousand. the company's return on net operating assets (rnoa) for the year is: select one: a. 3.5% b. 6.9% c. 13.6% d. 18.7% e. there is not enough information to calculate the ratio.

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.