Reference no: EM131544075
Question: To answer questions 1 & 2, use the following diagram that shows an isoquant of 3,000 production units and four isocosto lines. Labor and Capital cost $ 100 (each) per unit.
![1073_Capital.jpg](https://secure.expertsmind.com/CMSImages/1073_Capital.jpg)
![](https://secure.expertsmind.com/securepanel/data:image/png;base64,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)
1. Answer the following:
A. At point A, the Marginal Technical Substitution Rate (TMST) is
____________ (less than, greater than, equal to) the relation of prices of the inputs, w / r. The total cost of producing 3,000 units with the combination A is $ ____________.
B. When moving from A to B, the company _______________ (increases, decreases) the labor factor and _______________ (increases, decreases) the capital factor. At point B the TMST is _______________ (less than, greater than, equal to) the price ratio of inputs, w / r. Moving from A to B, the company _______________ (increases, decreases) its total cost by $ _________.
C. At point C the company __________________ the cost of producing 3,000 units of product. The TMST is _______________ (less than, greater than, equal to) the price relation of the inputs, w / r.
D. The optimal combination of inputs is _________ units of labor and _________ units of capital. For this combination, the total cost of producing 3,000 units is $ ____________.
2. Answer the following:
A. At point E, the MP (Marginal Product) per dollar spent on
____________ is less than MP per dollar spent on ____________. The total cost of producing 3,000 units with the input E combination is $ _________.
B. The movement from E to F reduces the MP per dollar spent on ____________ and increases the MP per dollar spent on ____________. This move __________________ (increases, decreases) the cost by $ ____________.
C. In the combination of inputs C the MP per dollar spent on labor is __________________ (less than, greater than, equal to) the MP per dollar spent on capital.
D. The combination of inputs D costs $ ____________. The company would not use this combination to produce 3,000 units because _______________________________________.
3. A company uses 20 units of labor and 30 units of capital to produce 4,000 units of product. In this combination the marginal product of labor is 50 and the marginal product of capital is 40. The labor price is $ 30 and the capital price is $ 20.
to. The MP per dollar of work is _________ and the MP per dollar of capital is _________.
B. The company can increase capital by one unit and reduce labor by _________ units while keeping costs constant. This action ____________ (increase, reduce) the production per _________ units.
C. To maximize output at stated cost, the firm will increase ____________ and reduce ____________ until the TMST equals _________.
4. A packing company uses two inputs: work and glue. Assume that the job costs $ 10 / hour (salary) and that the glue costs $ 5 / gallon and that the company has a budget of $ 100,000. He draws the straight line of isocosto for that company in striped paper. In the same diagram, draw an isoquant curve that indicates that the company can not produce more than 1,000 containers with that budget.
5. Regarding the previous question, suppose that the salary increases to $ 20 / hour while the price of the glue increases to $ 6.00 / gallon. How would the optimal ratio between inputs change as a result of these changes? Use your diagram in explanation.
6. What would happen with the expansion path of the company in the previous question (# 5).