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.

5. Rusty Trawler imports oil from Saudi Arabia. His cost function (for purchasing and delivering the oil) is TC = 5000+.1Q² where Q is the number of barrels of oil delivered. He may sell all the oil he can deliver for $60 per barrel (so TR = 60Q). Given these conditions, what are Rusty's maximum possible profits? a) $0 b) $300 c) $2,500 d) $4,000

Handwriting solution Not required...

In the market for foam fire retardant there is only one firm. The demand func-tion for the product is Q = 15,000 – 10P where Q is the annual sales quantity in tons and P is the price per ton. The firm’s total cost function (in dollars) is C = 1,400,000 + 300Q + 0.05Q2.a) How much foam fire retardant should this firm produce and sell in order to maximize its profit? What price should it charge?b) Compute the firm’s total profit.c) Suppose now that the firm faces a 20% increase in variable costs. Determine what impact this will have on the firm’s optimal choice.

Rent of a factory is the fixed cost for the firm True/False

p=D(x)=71.5−0.02xp=D(x)=71.5−0.02x dollars. The total cost for these coffee makers is given by C(x)=0.05x2+5.5x+6200C(x)=0.05x2+5.5x+6200 dollars. Determine the marginal profit for 118 coffee makers.

Suppose you make beautiful coffee tables out of juniper trees. Your materials cost for each table is $135. You pay your craftsman $25 per hour and it takes him 5 hours to complete one table. If you sell these tables for $689, what is your Cost of Goods Sold Percentage?    2. What is the Gross Profit Margin on the coffee tables described in question 1 above?   3. Suppose your company sells a 3 pack of lenses that attach to smart phones to improve the quality of pictures people take. You pay $29.95 for each 3 pack and sell them for $59.95. What is your Cost of Goods Sold Percentage for this item?   4. Suppose you sell 8,000 of the 3 pack of lenses described in question 3 above in one year. You cost on each 3 pack is $29.95 and you sell them for $59.95. If your operating expenses for the year total $144,080, what are your Net Income and Net Profit Margin Percentage?   5. Suppose an investor gave you $150,000 to start your business. You gave this investor 50 percent of your company for…

A demand of 230 banquet attendees can be expected at a dinner plate price of $80.00 each. A demand of 370 banquet attendees can be expected at a dinner plate price of $45.00 each. Catering Service A has a fixed cost of $1,800 and a marginal cost of $30 for each plate. Catering Service B has a fixed cost of $2,500 and a marginal cost of $22 for each plate. Costs for both caterers include the food, drinks, plates, utensils, tablecloths, glasses, crew, and cleanup. Dinner plates will only be sold as an entire unit. To justify company resources and to ensure the event will benefit the charity, the CEO insists the tickets be sold for no less than $40. All profits will go toward a charity of the committee's choosing. Additional spontaneous donation to the charity will be accepted the night of the banquet. Studies estimate that 5% will give $5, 23% will give $20, 18% will give $50, 7% will give $100, and 2% will give $500. Find the Profit function, P(x) , for each of the two possible…

The Lead Zeppelin Company produces powered and steerable lighter-than-air craft. The company’s airships are specially lined and are therefore safer than normal dirigibles. The table below shows the weekly production of dirigibles, along with the associated Average Cost and Total Revenue figures (the Average Cost and Total Revenue figures are actually in thousands of dollars, so the $15 represents $15,000, but we have left off the zeros to save space).   Quantity Average Cost Total Cost Total Revenue 0  -- 0 $0 1 $15 15 $10 2 $9 18 $20 3 $8 24 $30 4 $8.50 34 $40 5 $9 45 $50 6 $10 60 $60 7 $12 84 $70   The Lead Zeppelin Company has decided that it will produce at least 1 dirigible. Now the question becomes, how many more dirigibles should it produce to make as much profit as possible?   Use the profit-maximizing rule to explain how many dirigibles the Lead Zeppelin Company should produce to…

If a Prof leaves their $100,000 per year job to start a business that earns annual revenue $400,000, and has annual labor and rental costs of $200,000, the economic profit of the business is $200,000.