Wasson's Classic Cars restores classic automobiles to showroom status. Budgeted data for the current year are as follows. Time
Material
Loading
Charges
Charges
$292,600
Restorers' wages and fringe benefits
Purchasing agent's salary and fringe benefits
Administrative salaries and fringe benefits
Other overhead costs
Total budgeted costs
53,200
13,300
$359,100
$69,930
21,000
77,940
$168,870
The company anticipated that the restorers would work a total of 13,300 hours this year. Expected parts and materials were
$1.299,000.
In late January, the company experienced a fire in its facilities that destroyed most of the accounting records. The accountant
remembers that the hourly labor rate was $69 and that the material loading charge was 82%.
(a)
Determine the profit margin per hour on labor.
Profit margin on labor
$
per hour

its 50 miles away from the starting point

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.