The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt, If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f p = − 50 p 2 + 1700 p − 12 , 000 , where p is the price per shirt and f p is the monthly profit based on that price. (See Example 4) a. Find the price that generates the maximum profit. b. Find the maximum profit. c. Find the price(s) that would enable the company to break even.
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt, If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f p = − 50 p 2 + 1700 p − 12 , 000 , where p is the price per shirt and f p is the monthly profit based on that price. (See Example 4) a. Find the price that generates the maximum profit. b. Find the maximum profit. c. Find the price(s) that would enable the company to break even.
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt, If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by
f
p
=
−
50
p
2
+
1700
p
−
12
,
000
,
where p is the price per shirt and
f
p
is the monthly profit based on that price. (See Example 4)
a. Find the price that generates the maximum profit.
b. Find the maximum profit.
c. Find the price(s) that would enable the company to break even.
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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