In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plants of various sizes. A quadratic model of cost (in thousands of dollars) for the largest plants was found to be very similar to: C(q) = 0.02q² +24.4g +352 where q is the annual quantity of bales (in thousands) produced by the plant. Revenue was estimated at $ 63 per bale of cotton. Find the following (but be cautious and play close attention to the units):

Given cost and price (demand) functions C(q) = 120g + 42,000 and p(g) = - 1.9g + 870, what is the maximum profit that can be earned? It would be (Round answer to nearest cent.) ab me rade Study

OHaganBooks.com has been experiencing a run of bad luck with its summer college intern program in association with PCU (Party Central University), begun as a result of a suggestion by Marjory Duffin over dinner one evening. The frequent errors in filling orders, charges from movie download sites and dating sites, and beverages spilled on computer equipment have resulted in an estimated weekly cost to the company of C(x)=15x2 − 5.5x + 4,000 dollars, where x is the number of college interns employed. (a)What is the marginal cost at a level of 10 interns? (b)What is the average cost per intern at a level of 10 interns? (c)What is the marginal average cost at a level of 10 interns? (d)Interpret the results of parts (a), (b), and (c). At an employment level of 10 interns, the cost is increasing at a rate of $____  per additional intern, and it costs an average of $ _____ per intern to to employ the first 10 interns. Moreover, the average cost is decreasing at a rate of $ _____ per…

Given fixed costs of $37400, variable costs of (4x/9+333)and selling price in dollars per unit of (1467-5x/9), what is the break even point? what is the maximum revenue

A division of the Gibson Corporation manufactures bicycle pumps. Each pump sells for $9, and the variable cost of producing each unit is 50% of the selling price. The monthly fixed costs incurred by the division are $45,000. What is the break-even point for the division? (Round your answers to the nearest whole number.) (x, y) =

A business owner is monitoring the production cost of making laptop computers. It costs $5,000 to start the business. The production cost for 10 computers totals $6,000, and the production cost for 20 computers totals $5,000. Which type of function would best model the data, and why? Quadratic, because the production cost decreases to a minimum of $5,000 and then increases Quadratic, because the production cost increases to a maximum of $5,000 and then decreases Quadratic, because the production cost decreases to a minimum of $6,000 and then increases Quadratic, because the production cost increases to a maximum of $6,000 and then decreases

According to the data reported by the New York State Department of Health regarding West Nile Virus for the years 2000-2004, the least squares line equation for the number of reported dead birds (x) versus the number of human West Nile virus cases (y) is  ŷ = −10.2638 + 0.0491x.  If the number of dead birds reported in a year is 534, how many human cases of West Nile virus can be expected? (Round your answer to the nearest whole number.)    ___  cases

Irwin Music sells its brand of acoustic guitars at $250 each. The company incurs costs of $45 to manufacture each guitar. The associated weekly fixed costs for the company are $15,000. (a) Determine the linear equation relating weekly profit, P, to the number of acoustic guitars produced, x.P =  205x−15000      (b) What is the break-even quantity (rounded to the nearest whole unit)?  guitars(c) Using the result from (b), determine the break-even revenue, rounded to the nearest cent.$