The following table gives the cost, C(n)C(n), of producing a certain good as a linear function of nn, the number of units produced. Use the information in this table to answer the questions that follow it.     nn (units) 75 100 125 150 C(n)C(n) (dollars) 10000 10125 10250 10375 (a) Evaluate each of the following expressions. Give economic interpretations of each. C(150)=C(150)= , which tells us        C(150)−C(100)=C(150)−C(100)= , which tells us

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 17E: Later High School Graduates This is a continuation of Exercise 16. The following table shows the...
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The following table gives the cost, C(n)C(n), of producing a certain good as a linear function of nn, the number of units produced. Use the information in this table to answer the questions that follow it.

 

 

nn (units) 75 100 125 150
C(n)C(n) (dollars) 10000 10125 10250 10375

(a) Evaluate each of the following expressions. Give economic interpretations of each.

C(150)=C(150)= , which tells us       
C(150)−C(100)=C(150)−C(100)= , which tells us      
C(150)−C(100)150−100=C(150)−C(100)150−100= , which tells us       

(b)Estimate C(0)C(0).
What is the economic significance of this value?      

(c)The fixed cost of production is the cost incurred before any goods are produced. The unit cost is the cost of producing an additional unit. Find a formula for C(n)C(n) in terms of nn, given that:

Total cost=Fixed cost+Unit cost⋅Number of unitsTotal cost=Fixed cost+Unit cost⋅Number of units


C(n)=

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