comprehensive questions and verified answers|
FREQUENTLY MOST TESTED QUESTIONS AND VERIFIED
SOLUTIONS/GET IT 100% ACCURATE!!
1. x^5 = 32
solve for x: x = 2
x^5=32
x=[(^5)32]
x=2
2. 2^x = 16
solve for x: x = 4
3. Solve for x
and y for
these
simultaneous
equations:
3x = 14-5y
7x+2y = 23: x = 3
y=1
4. Equation for Total Cost: Total costs = (variable cost per unit * number of units
produced) + Fixed Costs
5. Material $75/television
Direct Labor $40/television
New Manufacturing Equipment $1,500,000
Modifications to Factory $3,000,000
, .
If this company is considering building 10,000 units this year (and needs money
for the entire year allotted to it now for this purpose), for how much should the
president ask?: $ 5,650,000
6. Contribution Margin: (price per unit X * # of units sold) - (variable cost per unit X *
units sold)
7. Breakeven: Breakeven = Fixed Costs/Contribution Margin per unit
8. A company is making a product and has invested $100,000 on an
advertising campaign and $75,000 each on five salespeople (annual salary,
including benefits and support). These are the only fixed costs that the
company has assigned to the product, and the contribution margin per unit
is $50. To cover those fixed costs, how many units will the company have to
sell to breakeven?: [($75,000*5) +
$100,000] / $50/unit = 9,500 (breakeven level in units)
9. abscissa: The x-coordinate of a point (independent variable)
10. ordinate: The y-coordinate of a point (dependent variable)
11 True/False: the fixed costs for a certain project are $50 and it costs $2 to
produce one unit. The equation that relates y (total costs) to x (total number of
units produced) is y = 2 + 50x: False. It would be y = 50 + 2x
12. Which of the following is the monomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
, .
C) 143x^4 + 78x^4 + 6x^4 + 76: B) 143x^4 + 3x^4 - its the only term where the x's can be
added together to get one term
13. Write an equation to related total cost to number of driveways paved.
Asphalt, tar & concrete/driveway = $7,000
Direct Labor/Driveway = $12,000
Office Expenses & Other Labor = $5,000: y = 19x + 5
Total Costs = (Variable costs per unit * Units of Production) + Fixed Costs
14. Which of the following is the binomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: C) 143x^4 + 78x^4 + 6x^4 + 76 - tis the only term where
the x's can be added together to get two terms
15. Which of the following is the trinomial expression?
A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6
B) 143x^4 + 3x^4
C) 143x^4 + 78x^4 + 6x^4 + 76: A) 4x^3 + 6x^4 +12x^3 + 45x^4 +6 - its the only term where
the x's can be added together to get three terms
16. True/False: the Contribution Margin is the amount that can be contributed to
fixed costs.: True: the contribution margin is the amount the company receives from the
sales of its product minus the product's variable costs. Therefore, the amount remaining
(after variable costs) can be used to pay the company's fixed costs.
17 True/False: When the following equation hold true, we are at the breakeven level in
dollars:
Sales - Variable Costs = Fixed Costs: True