Suppose that Quality Widgets Limited is an efficient small firm with cost functionC(q)=q3 - 10q2+100q + 196 and suppose also that the maximum level of weekly production is L=10. Determine:(d) their breakeven point, (e) their supply set.

The daily demand function for x LED lights sold by a major retailer is p = 1112.5 0.75x dollars, and the average cost of sales is C = 250 + 3x dollars. Find the quantity that will maximum profit, the selling price at that quantity and the maximum profit. a) Selling LED lights will maximum profit. b) The selling price at the answer in part (a) is $ c) The maximum profit is $

A firm uses the production technology q = (x{ + xP, where a is a constant and 0 # p< 1. (a) Derive the firm's cost function, c(w1,W2,9). (b) Derive the firm's profit, 7(p,w1,w2). (c) Derive the elasticity of scale for this production technology. (d) What restrictions must a satisfy to ensure that the profit function is well-defined? Explain.

a) when the plant is small b) when the plant is medium-size Oc) d) e) at an output level less than q when the plant is large at an output level more than q

Consider a firm with the market demand function for its product given by: p =1000 – 2Q; and total cost of production given by: TC = Q3 – 59Q2 + 1315Q + 2000. (a) Obtain the firm’s Total Revenue function. (b) Find the amount of Total Revenue when the firm sells 30 units of output. (c) Obtain the firm’s Profit function. (d) Find the amount of Total Profit when the firm sells 30 units of output.

10 ATC ATC2 ATC3 ATC, 2 2 4 6 8 10 Quantity (thousands of copies per day) A copy shop is choosing between four different operational sizes (ie, plant size). The average total cost curve for each option is shown in the graph. If the market demand for copies is 12,000 copies per day, how many copy shops would you expect to see in this market? The answer depends on the price of a copy, which is unknown. O 1 (because the copy shop will become a monopoly with a large quantity demanded) O (because the copy shop can't produce 12,000 copies efficiently and will shutdown) 3 (with each shop supplying 4000 copies per day) 8, 6 Average cost (cents per copy)

(i) If the demand curve for a particular commodity is p = −0.09x + 51 and  the total cost function C(x) = 1.32x2 + 11.7x + 101.4,where x is the level of production.  Find: 1. All values of x for which production of the commodity is profitable.

(a) Derive the firm's cost function, c(w1,W2, q). (b) Derive the firm's profit, 7(p, w1,W2). A fim uses the Cobb-Douglas production technology q = xªx!, where a and ß are posier are positive = X X, constants. (6) Derive the firm's profit, n(p, w,, w,). Explain.