The production function for a firm is:                  q=-0.6L3+18L2K+10L where q is the amount of output, L is the number of labor hours per week, and K is the amount of capital. The wage is w =  $100 and the rental rate is r = $800 per time period.     a Using Excel, calculate the total short-run output, q(L), for L = 0, 1, 2, …, 20, given that capital is fixed in the short run and K = 1. Also calculate the average product of labor; APL, and the marginal product of labor, MPL.                b For each quantity of labor in (a), calculate the variable cost, VC; the total cost, C; the average variable cost, AVC; the average cost , AC; and the marginal cost, MC. Using excel, draw the AVC, AC, and MC curves in a diagram.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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  The production function for a firm is: 
 
 
     
 
 
 

q=-0.6L3+18L2K+10L where q is the amount of output, L is the number of labor hours per week, and K is the amount of capital. The wage is w =  $100 and the rental rate is r = $800 per time period.

   
a Using Excel, calculate the total short-run output, q(L), for L = 0, 1, 2, …, 20, given that capital is fixed in the short run and K = 1. Also calculate the average product of labor; APL, and the marginal product of labor, MPL. 
 
 
     
 
 
b For each quantity of labor in (a), calculate the variable cost, VC; the total cost, C; the average variable cost, AVC; the average cost , AC; and the marginal cost, MC. Using excel, draw the AVC, AC, and MC curves in a diagram.
   
  Hint: you will not be able to solve the total product curve for L as a function of output. So, instead construct a table, See the headings.

 

              Use this definition              
              ΔTC/Δq              
q L MPL APL TVC TFC TC MC AVC AFC ATC r w Start Step
0                         0 1
1                            
2                            
3                            
4                            
5                            
6                            
7                            
8                            
9                            
10                            
11                            
12                            
13                            
14                            
15                            
16                            
17                            
18                            
19                            
20                            
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