The total cost equation for a firm producing two products is TC(Q1, Q2) = 25 + Q12 + 4Q22 + 5Q1Q2 (d) Suppose that the firm is currently producing 5 units of Q1, and 10 units of Q2, What is the firm's total cost of production? e) Suppose that the firm divests itself of the division selling Q1 to a competitor. How much will it cost the firm to continue producing 10 units of Q2? What is the total cost of producing both Q1 and Q2 if the firm producing Q1 produces 5 units?

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.

Suppose that the Travnikar Corporation manufactures widgets. Analysts that work for the company have found a function C(x) which reports the cost to produce x widgets and a function R(x) which reports the total revenue from selling x widgets. Currently, the company is producing 500 widgets, but the analysts find that R'(500)=85 and C'(500)=79. In order to maximize profits, should the analysts recommend increasing or decreasing production?

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…

Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 4x and C(x)=0.003x² + 1.6x + 50, find each of the following a) P(x) b) R(150), C(150), and P(150) c) R'(x), C'(x), and P'(x) d) R'(150), C'(150), and P'(150) a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(150)=$ (Type an integer or a decimal.) C(150)=$ (Type an integer or a decimal) *** P(150) $ (Type an integer or a decimal.) c) R'(x) = (Type an integer or a decimal) C'(x)= (Use integers or decimals for any numbers in the expression) P'(x)= (Use integers or decimals for any numbers in the expression)

A manufacturer of mountain bikes has the following marginal cost function: C′(q)=700/0.5q+2 where qq is the quantity of bicycles produced. When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marginal revenue in the discussions in your textbook. a) If the fixed cost in producing the bicycles is $3200, find the total cost to produce 35 bicycles.Answer: $   b) If the bikes are sold for $250 each, what is the profit (or loss) on the first 35 bikes?Answer: $ c) What is the marginal profit on bike number 36?Answer: $