Suppose that the production function takes the form X = min(10L, 5K) and that a competitive firm faces a wage rate of £60 per week and a weekly capital rental of £32. (a) How much must the firm spend to produce 100 units of output, and what is the average cost of production when X = 100? (b) What is the incremental cost of producing the 101st unit of output? (c) What happens to the cost of producing 100 units of output if the wage rate and the rental cost of capital rise by 25 per cent each? What happens to the average and marginal cost?

If the Marginal Cost for a product is found to be MC= 8x+60 , and the Marginal Revenue is given as  MR= 1200 and the cost of 8 units is found to be $1600, what are: the Total Costs?     the Fixed Costs?   the Total Profit?   the production level, x, that yields Maximum Profit?     the corresponding Maximum Profit?

Which cost concept is used to determine the most cost-efficient level of production? a) Average cost b) Total cost c) Marginal cost d) Variable cost

A firm's production function can be written as:Q = 5LKwhere Q represents output per day. The unit costs of inputs are $150 for labor (L) and$1,000 for capital (K). Determine the least cost combination of L and K when output isproduced at the rate of 1,000 tons per day. Determine the required outlay for 1,000 tons perday.

Consider the following total revenue function for a hammer. R 44x 0.01x2 (a) The sale of how many hammers, x, will maximize the total revenue in dollars? x = 2200 hammers Find the maximum revenue. $48400 (b) Find the maximum revenue if production is limited to at most 1200 hammers. $ If the total revenue function for a computer is R(x) = 1000x - 35x2-x³, find the level of sales, x, that maximizes revenue and find the maximum revenue in dollars. x = R(x) = $ computers If the total cost function for producing x lamps is C(x) = 3240 + 37x+ 0.9x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units Find the minimum average cost per unit. $ If the total cost function for a product is C(x) = 10+ 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? x= units Find the minimum average cost per unit. $ Find the derivative of the function. f(x) = ex-xe

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a) Calculate the marginal product (MP1) for the mixers. Does the production function have increasing, decreasing, constant marginal product for the mixers? b) Suppose in the short run the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? c)Usinag an isoprofit, as well as the production function, draw a diagram of your soltuion from part (b). carefully label all the slopes and intercepts. d) In the long run, how many mixers should she use? How many machines? How many baklavas will she make? e) Suppose that the government decides to provide a $1 subsidy per mixer. What is the profit-maximizing amount of input to use now?