Math.1210(202) Management Precalculus
Fall 2018
Name:_________________________
EXAM 1
SHOW ALL YOUR WORK.
1. Determine the domain and range of the function and express them in interval notation and
inequality.
a)
b)
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Math.1210(202) Management Precalculus
Fall 2018
Name:_________________________
EXAM 1
SHOW ALL YOUR WORK.
- Determine the domain and range of the function and express them in interval notation and inequality. a)
b)
2. Complete the table of values for the function 𝑓(𝑥)^ = 𝑥^3 − 4 , plot the values of x and y
as points in a coordinate plane and graph the function.
x - 3 - 2 - 1 0 1 2 3
y
3. The relationship between the number of units sold by a company and the profit is linear.
If 300 units sold results in $2000 profit and 375 units sold results in $3500 profit, find the marginal profit and explain what does it mean? Write the equation that models this profit function. How many units must be produced and sold to avoid a loss?
- The demand for a certain brand of women’s shoes is given by 3q + p = 340, and the supply of these shoes is given by p – 4q = - 220, where p is the price in dollars and q is the number of pairs at price p. Solve the system containing these two equations to find the equilibrium price and equilibrium quantity.
- A company will make a new type of blender. The fixed cost for the production will be $24,000. The variable cost will be $39 for each blender. The blender will sell for $107 for each. Write the revenue and cost function for this product. How many units will have to be sold for the company to break even on this new line of blender. What is the y coordinate of break even point. Graph both Functions and label the break even point on your graph.
- World IT cloud services revenues from 2010 to 2015 are given in the table below. Use calculator to find a linear function with x representing the number of years after 201 0 and y equal to the billions of dollars of revenue. Round up to two decimals. Use your model to find out at what year the revenue will be 101 billion dollars. Year Revenue ($ billions) 2010 21 2011 27 2012 35 2013 45 2014 58 2015 73