Consider the following cost curve for a firm in a competitive industry where the market price equals $150. C = one third q cubed plus 6 q plus 1 comma 500 . What is the firm's marginal cost (MC)? MC = q squared plus 6. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E. g., a superscript can be created with the ^ character.) At what level of output does the firm maximize profits (minimize losses)?

For many years, kellogg's frosted flakes, a ready-to-eat breakfast cereal, was perceived as a cereal for children. tony the tiger, a cartoon character, extolled frosted flakes, and advertisements depicted children enjoying the product with tony in competitive situations. recently, in response to declining sales of frosted flakes, the cereal maker has adopted a new series of advertisements that show adults admitting that they enjoy frosted flakes, too. kellogg's is attempting to

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

Under t, the point (0,2) gets mapped to (3,0). t-1 (x,y) →