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1. A company that produces cell phones has a cost function of C(x)=3x^2−1500x+39900 where C is cost in dollars and x is number of cell phones produced (in thousands). How many units of cell phones minimizes this cost function?

2. A ball is thrown into the air and its position is given by h(t)=−4.9t^2+70t+5 where tt is measured in seconds and h(t) is measured in meters above the ground. Find the height at which the ball stops ascending. How long after it is thrown does this happen?

- Time at which ball stops ascending is (in seconds.)
- Height at which ball stops ascending is

Answer #1

Find the marginal cost for the cost function c(x)=(3x-2)^4. Find
C'(5). explain the value. please show all work.

A company manufactures microchips. Use the revenue function R(x)
= x(75-3x) and the cost function C(x) = 125+14x to answer parts (A)
through (D), where x is in millions of chips and R(x) and C(x) are
in millions of dollars. Both functions have domain 1≤ x ≤ 20.
(D) Find the value of x (to the nearest thousand chips) that
produces the maximum profit. Find the maximum profit (to the
nearest thousand dollars), and compare it to the maximum revenue....

QUESTION 1. A ferris wheel has a radius of 12
m. The center of the ferris wheel is 14 m above the ground. When it
is rotating at full speed the ferris wheel takes 10 s to make a
full turn. We can track one seat on the ferris wheel. Let’s define
t = 0 to be a time when that seat is at the top of the ferris wheel
while the ferris wheel is rotating at full speed. (a)...

do all five questions
Question 1
20 pts
Ignoring the effects of air resistance, if a ball falls freely
toward the ground, its total mechanical energy
Group of answer choices
increases
remains the same
not enough information
decreases
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Question 2
20 pts
A child jumps off a wall from an initial height of 16.4 m and lands
on a trampoline. Before the child springs back up into the air the
trampoline compresses 1.8 meters. The spring constant...

In this exercise, you will analyze the supply-demand equilibrium
of a city under some special simplifying assumptions about land
use. The assumptions are: (i) all dwellings must contain exactly
1,500 square feet of floor space, regardless of location, and (ii)
apartment complexes must contain exactly 15,000 square feet of
floor space per square block of land area. These land-use
restrictions, which are imposed by a zoning authority, mean that
dwelling sizes and building heights do not vary with distance to...

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