2. Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?

3. Find the slope of the line through the points ( 5, -5) and ( 6, -1)

4. Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the equation P = 140n - 8500, where n is the number of hard drives sold. Graph P = 140n - 8500 for n < 1000. Estimate the profit, to the nearest ten dollars, corresponding to the sale of 875 hard drives.

5. When $ 8500 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can be obtained from the equation i = 8500r , where r is the rate of interest in decimal form. Graph i = 8500r , for r up to and including a rate of 16%. If the rate is 12%, how much interest is earned?

Expectations:
Differentiate between a function and a linear function.
Describe the mathematical equation of a standard linear function.
Describe how to compute the slope of a line.

Solution Summary

This solution clearly describes the mathematical equation of a standard linear function.

Which of the following could be a linear programming objective function?
Z = 1A + 2B / C + 3D
Z = 1A + 2BC + 3D
Z = 1A + 2B + 3C + 4D
Z = 1A + 2B2 + 3D
all of the above.

Evaluatethefunctions for the value of x given as 1,2,4,8,and 16. Describe the difference in the rate at which each function changes with increasing value of x; rank thefunction from fastest-growing to slowest-growing?
1) f(x)=3x+2
2) f(x)=x^2+5x+6
3) f(x)=x^3+3x^2+2x+1
4) f(x)=e^x
5) f(x)=log x

What similarities and differences do you see between thefunctions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinearfunction and provide two inputs for your classmates to evaluate.

For each of the relationships below, explain whether you think it is best described by a linearfunction or a non-linearfunction. Explain your reasoning thoroughly.
a. The time is takes to get to work as a function of speed at which you drive.
b. The probability of getting into a car accident as a function of the speed a

A major advantage of the __________________ production function is that it can be easily transformed into a linearfunction, and thus can be analyzed with thelinear regression method.
cubic
power
quadratic
none of the above.

What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinearfunction and provide two inputs for your classmates to evaluate.

Please help find linear values for Company A and B. (The question is formatted in the attachment).
Two companies start up at the same time. Company A claims their annual profits follow a linear model, P(x)=10x-7 where x is the number of units sold and x≥1. Company B claims that their annual profits follow a radical model, P

What is the relationship between decision variables and the objective function?
What is the difference between an objective function and a constraint?
Does thelinear programming approach apply the same way in different applications? Explain why or why not using examples.