Exam 1 Review, which also consists of matrix multiplication problems from class.
Note, this is only a review, not a preview of the exam.
1. A small boat, originally worth $18376.51, is worth $8306.92 after 3 years. If the boat
depreciates linearly, what is its rate of depreciation? To the nearest whole number, how
many years will it take for the boat to be worth its scrap value of $2000?
2. Find the solution(s) to the system of equations below. Express them in terms of
parameters s and/or t.
{
1
3. A college sports memorabilia manufacturer will not market any jackets if the price drops
to $23.50 per jacket or less. It will supply 1200 jackets if it can get $30.25 per jacket.
Assuming a linear supply equation, at a price of $55, how many jackets will be supplied?
4. A pottery company has monthly fixed production costs of $27,900 and its costs $28,875
to produce 150 vases. If a vase sells for $15.50, find the break-even point.
2
5. The price-demand p for a certain item is
, where x is the number of
items sold. How many items must be sold to have maximum revenue? What is the
maximum revenue?
6. It costs a company $391,620 to make 1050 electronic readers and $729,820 to make 2000
electronic readers. If there is a loss of $1670 when 50 electronic readers are produced and
sold, what is the revenue if 350 electronic readers are sold?
3
7. If
(
)(
), what is the value of
? And of
8. Pivot the matrix below about the element in row 2 and column 2.
[
|
4
]
?
9. Find the value of k for which the system below has infinitely many solutions.
{
10. Albert sells three kinds of muffins at the school’s bake sale: chocolate chip muffins at 40
cents each, oatmeal muffins at 45 cents each, and cranberry muffins at 50 cents each.
Amy buys some of each kind and chooses three times as many cranberry muffins as
chocolate chip muffins. If she spends $7.95 on 17 muffins, how many chocolate chip
muffins did she buy?
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