# MPP Linear Equations 3

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```					MPP Linear Equations 3

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) If you solve the following system, what is the value of y?    3x + 2y = 26                             1)
2x + 3y = 29
A) 3                    B) 4                C) 5                 D) 6                  E) 7

2) Read this carefully. First solve the following system of equations. Then add the value of x to the     2)
value of y. 2x - 3y = 1
x + 5y = 7
The sum of x and y is
A) 6.                   B) 3.               C) -4.               D) 11.                E) -11.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

3) Solve the following system of equations algebraically. (If the system does not have a             3)
solution, then say so or if it has more than one unique solution, then please describe the
solutions.)
4x + 10y = 6
2     5
x- y=1
3     3

q
4) Find the equilibrium point if the demand equation for a product is p =        - 3 and the         4)
20
80
supply equation is p =      .
q

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5) Suppose the supply and demand equations for a manufacturer's product are p =            q+6       5)
100
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and p = -      q + 14, respectively, where q represents number of units and p represents price
50
per unit in dollars. Determine (a) the equilibrium quantity; (b) the equilibrium price. If a
tax of \$1.00 per unit is imposed on the manufacturer, (c) determine the new equilibrium
quantity; (d) the new equilibrium price.

6) A manufacturer sells his product at \$12.50 per unit, selling all he produces. His fixed cost      6)
is \$5,000 and his variable cost per unit is \$8.50. (a) At what level of production will he
break even? (b) At what level of production will he have a profit of \$10,000?

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Testname: MPP-LINEAR-EQ-3

1) E
2) B
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3) x = , y = 0
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4) p = 1; q = 80
5) (a) 160 units     (b) \$10.80   (c) 140   (d) \$11.20
6) (a) 1,250 units   (b) 3,750

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