M118 - FINITE MATH
WORKSHEET SECTION 4.1
1) Solve graphically:
x + 2y = 4
2x + y = -1
___________________
Solution = _________________
5
y
4
3
2
1
-5 -4 -3 -2 -1
-1
1
2
3
4
5 x
-2
-3
-4
-5
2) Solve by elimination or substitution:
2x - 5y = 13
5x + 3y = 17
3) Solve by elimination using addition:
8x - 4y = 10
12x - 6y = -15
Solution = ______________
4) Solve by elimination or substitution: 6x - 3y = 9
2x - y = 3
Solution = _________________
Solution = ___________________
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5) A cookware manufacturer is preparing to market a new pasta machine. The company sells the pasta machine
for $59.95. The company's fixed costs for research, development, tooling and so on are $243,000 and the
variable costs are $22.45 per machine.
a) Find the Cost Function. ___________________________________________
b) Find the Revenue Function. ________________________________________
c) Find the break-even point. _________________________________________
d) Graph both equations in the same coorinate system and show the break-even point.
y
x
6) United express, a nationwide package delivery service charges a base price for overnight delivery of packages
weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed
$29.95 for shipping a 5-pound package and $59.20 for shipping a 20-pound package.
a) Find the base price. __________________________
b) Find the surcharge. __________________________
2
7) Suppose that the supply and demand equations for T-shirts for a particular week are
p = 0.7q + 3
p = -1.7q + 15
Supply Equation
Demand Equation
where p is the price in dollars and q is the quantity in hundreds.
a) Find the supply and demand ( to the nearest unit) if T-shirts are priced at $4 each.
supply = ________________________ demand = ___________________________
b) Find the supply and demand ( to the nearest unit) if T-shirts are priced at $9 each.
supply = ________________________ demand = ___________________________
c) Find the equilibrium price and quantity.
equilibrium price = _______________ equilibrium quantity = __________________
3