Cheburashka uses kiwi fruits (K) and labour (L) to produce juice (q). His production function is: q = min{L/3, K0.5}}, where labour is measured in hours, kiwi fruits in kg, and juice in (large) bottles. For example, if he uses 4 kg of kiwi fruits and 6 hours of labour, he can produce 2 bottles of juice. a) Draw isoquants for q = 1, q=2 and q = 3 on a graph with labour on the horizontal axis and kiwi fruits on the vertical one. b) Let the price of labour-hour be given by w = $18 and the price of fruit by p = $5 per kg. What is the optimal amount of labour and fruit to produce q bottles of juice if Cheburashka strives to minimise costs? (Note that you need to provide expressions L(q) and K(q)). Illustrate on the graph from a) by drawing corresponding isocost lines. c) Draw the Cheburashka's expansion path on a graph from a). Derive an expression for the expansion path, i.e., K as a function of L. How does it depend on the wage and the price of

Suppose a pizza parlor has the following production costs: $3.00 in labor per pizza, $4.00 in ingredients per pizza, $0.40 in electricity per pizza, $3,000 in restaurant rent per month, and $350 in insurance per month. Assume the pizza parlor produces 4,000 pizzas per month. What is the variable cost of production (per month)? The variable cost of production is $. (Enter your response as an integer.)

Which of the following production functions exhibits constant returns to scale (refer to activities and slides ): Group of answer choices q = AL0.5K0.6 q = AL0.3K0.4 q = AL0.5K0.7 Q = 10 L0.3 K0.7

Suppose that a firm’s production function is Q =10 K^(3/4)L^(1/4). The cost of a unit of labor is $1 and the cost of a unit of capital is $3. The manager of this firm is interested in finding the following information: a)    Type of returns to scale and the marginal products of labor and capital. b)    The marginal rate of technical substitution of labor for capital. Graph the isoquant map. c)    The firm is currently producing 100 units of output. Find the optimal cost-minimizing quantities of labor and capital. Graphically illustrate this optimal solution using isoquants and isocost lines. What is the minimum total cost? d)    The manager now wants to know the K/L ratio to produce anyoutput level at the minimum total cost. Represent graphically the expansion path in the long run.