The total revenue and total cost functions for manufacturing Items are:

TR(q)=−5q2+80q and TC(q)=q3−12q2+60q+60,

where q is measured in hundreds of Items and total revenue and total cost are given in hundreds of dollars.

(a) Determine the quantity at which marginal revenue is 62 dollars per Thing.

Juniper company uses a perpetual inventory system and the gross method of accounting for purchases. the company purchased $9,750 of merchandise on august 7 with terms 1/10, n/30. on august 11, it returned $1,500 worth of merchandise. on august 26, it paid the full amount due. the correct journal entry to record the merchandise return on august 11 is:

Dr. dow jones wants to know whether a problem-based approach to teaching economics will result in higher academic performance than his traditional method. of the six sections of economics 101 at his university, dr. jones randomly assigns three sections to the traditional method and three sections to the problem-based method for unit 1 of the course. then all sections switch the instructional method for unit 2. he plans to compare the performance of the two groups of sections on their unit 1 and unit 2 exams. this study employs a design.

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor.required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)