1.) Find f (0), if not supplied, and then find the equation of the given linear
ID: 2889936 • Letter: 1
Question
1.) Find f(0), if not supplied, and then find the equation of the given linear function.
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2.) The RideEm Bicycles factory can produce 140 bicycles in a day at a total cost of $10,700 and it can produce 160 bicycles in a day at a total cost of $11,600. What are the company's daily fixed costs?
$ _______________
What is the marginal cost per bicycle?
$ _______________
3.) The following table shows worldwide sales of cell phones by a certain company and their average wholesale prices in the first quarters of 2009 and 2010.
(a) Use the data to obtain a linear demand function for the company's cell phones. (Let p be the price, and let q be the demand).
Use your demand equation to predict sales if the company lowered the price further to $80.
_____________million phones
(b) Fill in the blank.
For every $1 increase in price, sales of cell phones decrease by _________ million units.
4.) The well-known romance novelist Celestine A. Lafleur (a.k.a. Bertha Snodgrass) has decided to sell the screen rights to her latest book, Henrietta's Heaving Heart, to Boxoffice Success Productions for $44,000. In addition, the contract ensures Ms. Lafleur royalties of 5% of the net profits.† Express her income I as a function of the net profit N.
Determine the net profit necessary to bring her an income of $130,000.
N = $ _________
What is her marginal income (share of each dollar of net profit)?
$ _________ per dollar of net profit
Explanation / Answer
Solution 1:
f(1) = 9
f(2) = 14
f(3) = 19
f(4) = 24
Let linear relationship:
f(x) = mx + c
where m = slope = (14-9)/(2-1) => 5 {for points (1,9) and (2,14)}
f(x) = 5x + c
satisfying point (1,9)
9 = 5*1 + c
c = 4
thus f(x) = 5x + 4
f(0) = 4
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