Appleway Industries produces apple juice and sells it in a competitive market. The firm’s manager must determine how much juice to produce before he knows what the market (competitive) price will be. Economists estimate that there is a 30 percent chance the market price will be $2 per gallon and a 70 percent chance it will be $1 when the juice hits the market. If the firm’s cost function is C = 200 + 0.0005Q2, how much juice should be produced to maximize expected profits? What are the expected profits of Appleway Industries?

i will 10 upvotes urgent .

You are analyzing a new company’s records projecting their profits using a marginal profit function, P′(x), where P is profit, in thousands of dollars, and x is the number of items they sell, in hundreds. the integral is from 5 to 1 for P ′(x) dx = 22. If the company projects to earn $26,000 of profit from selling 500 items and $7000 of that revenue from selling 100 items, what is their projected cost from selling 100 items?

Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 60 + 0.10x + 0.001x² dollars. (a) Calculate the marginal profit function, in dollars per copy. P'(x) = (b) Compute the marginal profit, if you have produced and sold 500 copies of the latest edition. When you produce and sell 500 copies, the marginal profit is dollars per copy. Interpret the results: The approximate loss from the production and sale of the 501st сорy is dollars.

An Accra Chemical Factory discharges waste products into a river. These wastes kill many tilapia that are swimming upstream to spawn. While there will no doubt be other ecological damages from the chemical effluent, we wish to focus on those of the fishery. Let E be the tonnes of chemical effluent discharged per month. The equation for Marginal Damages (MD) is MD = 6E. The firm’s Marginal Abatement Cost (MAC) is given by MAC = 800 – 10E. a. Sketch the MD and MAC functions graphically on the same axes. b. Suppose E0 is the point where MAC = 0. Find the total damages (TD) to fishery by the factory per month.

The Jones are small farmers in the wheat industry – they are price takers.  Their cost function is:  TC = 600,000 + 3,000Q + Q2 and MC = 3,000 + 2Q.  The market price is $5,000 per ton. Assuming the Jones are maximizing profits (or minimizing loses), how much profit are they making? You must show your work.

Suppose that you can sell as much of a product (in integer units) as you like at $60 per unit. Your marginal cost (MC) for producing the qth unit is given by: MC = 7q This means that each unit costs more to produce than the previous one (e.g., the first unit costs 7*1, the second unit (by itself) costs 7*2, etc.). If fixed costs are $80, what is the optimal integer output level? Please specify your answer as an integer. If fixed costs are $80, what is the profit at the optimal integer output level? Please specify your answer as an integer.

Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1​is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept​=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)

Northside Social (NS) sells cups of coffee and amazing breakfast sandwiches. The current price of a cup of coffee is $3.00 and the current price of an amazing breakfast sandwich is $8.00. At those prices, NS sells 1000 cups of coffee and 200 breakfast sandwiches daily. NS faces a constant marginal cost for each cup of coffee of 50 cents and the constant marginal cost of breakfast sandwiches is $2. NS increases the price of coffee 5%, to $3.15. After the price increase, NS sells 900 cups of coffee, a decrease of 10% in cups of coffee. Assuming the above, what if NS also changes the price of breakfast sandwiches from $8 to $10 (a 25% increase in price) and that the number of breakfast sandwiches sold decreases from 200 to 180 (a 10% decrease in quantity). Which of the following is true? A) Coffee profits and breakfast sandwich profits increase.B) Coffee profits decrease by more than breakfast sandwich profits decrease.C) Coffee profits decrease by more than breakfast sandwich profits…

The market for high-quality caviar is dependent on the weather. If the weather is good, there are many fancy parties and caviar sells for 300 SEK per kg. In bad weather it sells for only 200 SEK per kg. Caviar produced one week will not keep until the next week, i.e. it has to be sold and consumed the same week it is produced. A small caviar producer has a cost function given by C=5q2 - 50q + 1000 where q is the weekly caviar production. Production decisions must be made before the weather (and hence the price of caviar) is known, but it is known that good weather and bad weather each occur with a probability of 0.5. a)  How much caviar should the firm produce per week if it wishes to maximise its expected profit? b)  Suppose the owner of the firm has a utility function of the form U(π)=√π where π is weekly profits. What is the expected utility associated with the strategy in (a)?  c) Suggest a weekly production level that would give the owner higher expected utility than the…