The above information is from your computer : be sure it is correct. For grade credit, submit over the internet by 11:59 PM (= 23:59 hours) on Sunday 14 October 2018

Math 76O-250 Calculus for Business
Self-marking Practice quiz 3
Submit over the internet by 11:59 PM Sunday 14 October 2018 Maximum value toward semester grade is 2 pts
Methods will be discussed in class; CAUTION: Prof McFarland makes new tests each semester.

(b)(2 pts) Find both CVs (critical values) for f(x) in [1a]
above. Then test each CV by entering numbers (not just +/- signs) in the
5 empty boxes of the table below. Scoring: one point
for each correct table row

(c)(2 pts) Using the values of f '(x) you entered in the table
below, name the type of CV (max, min, or ledge) in the bottom table row below.
Scoring: one point for each correct type of CV.

Note that the
table at the
right is a 1st
derivative test

A baseball card store can obtain "Babe Garfield" cards at
a cost of $5 per card, and has been selling them at a
rate of 50 cards per month for a price of $9. The store
is planning to change the card price, and estimates that
for each $0.50 per card reduction, 10 more cards will be
sold each month. At what price per card will the store
owner maximize his/her profit?

[2a](2 points) For the problem in the box above, choose the best definitions of
x and P for translating the words into mathematics. Vague English
gets less credit ; thus, "Let x = number of apples John
should buy" is better than "Let x = apples". Note : on paper tests, student must write definitions rather than choose among options.

Let x = number of baseball cards sold
Let P = price of each baseball card

Let x = baseball cards
Let P = profit

Let x = number of price reductions
Let P = price of baseball cards sold

Let x = price of each baseball card
Let P = profit on all baseball cards sold

Let x = number of baseball cards sold
Let P = profit on all baseball cards sold

Let x = cost of each baseball card
Let P = price of each baseball card

[2b](3 points) Enter integers below (such as 3, 0, or -2),
expressing the relationship between the "x" and "P" you defined
above. The correct solution to [2b] must use the definitions of x and P
from [2a] above, not some other (perhaps unlisted) choice which you might have preferred.
If you (incorrectly) thought P = (10 - x)(x + 2), then you would enter "-1", "8", and "20" in the boxes below.

Press the "display scoring" button to check your score before submitting :

When you have done your best above, submit your test to Professor HERE (below). Be sure your email address is correct above: your graded quiz will be immediately copied there!