Answer:
Selling 40 items will produce a maximum profit.
Step-by-step explanation:
We need to use First and Second Derivative Tests on profit function to determine how many items will lead to maximum profit. Let , where is the profit for a product, measured in US dollars, and is the amount of items, dimensionless.
First we derive the profit function and equalize it to zero:
(Eq. 1)
Roots are found by Quadratic Formula:
and
Only the first root may offer a realistic solution. The second derivative of the profit function is found and evaluated at first root. That is:
(Eq. 2)
(Absolute maximum)
Therefore, selling 40 items will produce a maximum profit.
35 x 6 = 210
210 + 150 = 360
She will have saved $350
The number sentence that is true is B. 2.9 x 104 < 2.25 x 1011
2.9 x 104 = 301.6
2.25 x 1011 = 2,274.75
Therefore, 301.6 is less than (<) 2,274.75
Answer:
5 weeks 150 dollars
Step-by-step explanation:
C is correct
process of elimination will help you prove your answer
a- numbers trailing a decimal before a nonzero digit are not significant
b- zeros between nonzero are significant
d-the zero before the 6 is not significant