X and Y are both factors of production. X's marginal product is 30 and Y's is 20. X is $5 each and Y is $4 each. Knowing that Y costs less than X, we can assume that the firm will make the same output at a cheaper cost by using less of X and more of L. Is this statement true or false? Explain.

TRUE or FALSE and explain your answer fully If the cost of production is minimized, then all inputs that are used must have the same marginal productivity.

A firm gives electricity to the neighborhood. The firm buys two inputs: green energy (G) and fossil fuel energy (F). The function is given by:  Q(G, F) = 4(G + F)  a) Find the marginal product per dollar spent on F and G for the firm when PG = 20 and PF = 20.  b) Find the cost-minimizing combination(s) of fossil fuels and green energy for the firm to make Q' units of output (a fixed level).  c) The government subsidized green energy. What is the new cost-minimizing combination(s) of fossil fuels and green energy for the firm to produce Q' of output (a fixed level). Give typed Answer ASAP correctly with proper explanation.

We know there is a link between productivity and costs. For example, recall the link between the marginal physical product of the variable input and marginal cost. With this in mind, what link might there be between productivity and prices?

please only solve part d, e, f

The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the function 0 = 900LK¹³. Labor costs $100 per unit and capital costs $50 per unit. What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? What is that minimum cost? Round your answers to two decimal places.

Please type the answer, and answer both questions.

Suppose a brewery uses a Cobb-Douglas production function for his production. He studies the production process and finds the following. An additional machine-hour of fermentation capacity would increase output by 600 bottles per day (i. e. MPK = 600). An additional man-hour of labor would increase output by 1200 bottles per day (i. e. MP₁ = 1200). The price of a man-hour of labor is $40 per hour. The price of a machine-hour of fermentation capacity is $8 per hour. 1. Is the brewery currently minimizing its cost of production? Check using the minimization condition. 2. It turns out, the brewery is not optimally choosing the factors of production. To lower its production cost, which factor of production should the brewery increase and which factor should he decrease? 3. Suppose that the price of a machine-hour of fermentation capacity rises to $20 per hour. How does this change the answer from part 1?

part D E F

Problem 3.  Maria Bakery sells cupcakes.  The production of cupcakes takes both raw ingredients, and l is hours of labor.  The daily production function for cupcakes is given by   q = ½ * g * l + l^2 - 20   where output is in dozens of cupcakes, g is poinds of raw ingredients, and l is hours of labor.  The cost of a pound of raw ingredients is pg = $1 while the cost of an hour of labor is pl = $12.  What is the optimal ‘number’ of pounds of raw ingredients to use per hour of labor? (Hint: Consider the marginal productivity of investment of the inputs.) A standard day requires about 25 dozen cupcakes to be make.  What is the cost minimizing production plan for 25 dozen cupcakes? (Hint:  Find the cost minimizing l and g such that dq = 25.) How much will this cost?