A firm sells its product in a perfectly competitive market where other firms charge a price of $90 per unit. The firm's total costs are C(Q) = 50 + 10Q+2Q^2.a. How much output should the firm produce in the short run?b. What price should the firm charge in the short run?c. What are the firm's short-run profits?d. What adjustments should be anticipated in the long run?

The typical consumer's food basket in the base year 2015 is as follows: 30 chickens at $4 each 10 hams at $5 each 10 steaks at $8 each a chicken feed shortage causes the price of chickens to rise to $5.00 each in the year 2016. hams rise to $7.00 each, and the price of steaks is unchanged. a. calculate the change in the "cost-of-eating" index between 2015 and 2016. year cost of the basket 2015 $ 2016 $ instructions: enter your responses rounded to one decimal place. the official cost-of-eating index has by %. b. suppose that consumers are completely indifferent between two chickens and one ham. for this example, how large is the substitution bias in the official "cost-of-eating" index? the in the cost-of-eating index is %. the of inflation in the cost of eating reflects substitution bias.

Suppose an economy consists of three sectors: energy (e), manufacturing (m), and agriculture (a). sector e sells 70% of its output to m and 30% to a. sector m sells 30% of its output to e, 50% to a, and retains the rest. sector a sells 15% of its output to e, 30% to m, and retains the rest.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.