Suppose the production function for T-shirts can be represented as q = L^0.25 K^0.75. When K =1 and q = 2, what is the slope of the isoquant? If there is %3D %3D %3D insufficient information to answer the question, describe what information is additionally needed.
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- Use the line drawing tool to plot the functional relation. listed below on a scale diagram (with X on the horizontal axis and Y on the vertical axis) and compute the slope of the line. Make sure you start at the Y-intercept and label the line 'Line A'. Y = 20 + 3X Carefully follow the instructions above, and only draw the required object.A company uses two inputs, unskilled labour (L) and capital (K), to produce its product. The wage rate for a unit of labour is €5, while a unit of capital cost €20. a) Determine the equation and plot the isocost line for the company's expenditures on itsinputs of €1,000. Label the intercepts of the isocost with both axes. Draw a typical isoquant for an output level Q0 and indicate the optimal input levels of L and K. (Do not forget to label the axes). b) Suppose the government introduces a minimum wage for unskilled labour of €6 per unit.Show graphically and explain shortly how much it would cost the firm in the short run, with capital input fixed at K, to keep its output constant at Q0. c) Show graphically and comment shortly on the optimal factor mix that the firm would use to produce Q0 in the long run at the specified minimum wage of €6 per unit.It costs a company $58 to produce 6 units of a product and $78 to produce 10 units. Assuming that the cost is linear, how much does it cost to produce 25 units?
- Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $60,000. The variable cost of recapping a tire is $9. The company charges $25 to recap a tire. For an annual volume of 12,000 tires, determine the total cost, total revenue, and profit. Determine the annual break-even volume for the Retread Tire Company operation. Graphically illustrate the break-even point using a one way table that relates volume to profit.A car wheel making company has the following data related to cost: Total Cost = $ 15000 + 1000X and Total Revenue = 2500X, where X is the number of wheel. Plot the Total Cost and Total Revenue on the graph.
- The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) = 56x – 0.020x? 0sxs 2800 (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (B) Use the four-step process to find R'(x). (C) Find the revenue and the instantaneous rate of change of revenue at a production level of 1,000 car seats, and interpret the results. (A) Find the average change in revenue if production is changed from 1,000 car seats to 1,050 car seats. (Round to one decimal place as needed.) (B) R'(X) = (C) R(1000) = R'(1000) = Interpret these results. Choose the correct answer below. O A. This means that at a production level of 1,000 car seats, the revenue is R(1000) dollars and is decreasing at a rate of R'(1000) dollars per seat. O B. This means that at a production level of 1,000 car seats, the revenue is R'(1000) dollars and is increasing at a rate of R(1000) dollars per seat. O c. This means that at a…Hi, I have been trying to compute the optimal values from this lagrangian. But I can't seem to find a way to get the values from the answer key. I attached both the question and answers. Could you please explain to me how to get these values from the first-order conditions? Thank you very muchthe second image displays the function given in section 8.3.4 as mentioned in the question
- I need help with subparts b and c. If you could draw the graph online insted of paper, I would highly appreciate it, since I have had a hard time trying to understand previous answers when the graphs are done by hand as sometimes they are unclear. And if possible, could you clearly separate the answer for each subpart of this question? I will give positive feedback on your answer! Thank you :)Round off to 4 decimal places. The value for the slope parameter is?If Qd= 20-0.5P, find the slope of the function ?