Sophia grows Christmas trees. Her cost of production is shown in
the table below
Christmas Trees
Total Cost
0
40
1
60
2
108
3
164
4
228
5
300
6
380
Suppose the market for Christmas trees is perfectly competitive
and that the market price for Christmas trees is $68 per tree
How many Christmas trees should Sophia grow?
What is Sophia's profit

Rachel is also marketing manager of Tire Manufacturing Co. She
wants to increase sales by 15% per year for the next 3 years. If
she sold 50,000 tires this year, how many tires should she expect
to sell in 3 years?

A small cannonball is shot straight up from the ground with a
launch speed of 26.3 m/s. 2.00 seconds after the cannonball is
launched, a ping pong ball is dropped from a height of 36.5 m. Both
objects only move in the y-direction.
2a. Where (with respect to the ground) do the cannonball and the
ping pong ball pass one another?
2b. How fast and in what direction are each of the balls
traveling when they pass one another?
2c....

Scores on the GRE. A college senior who took
the Graduate Record Examination exam scored 580 on the Verbal
Reasoning section and 730 on the Quantitative Reasoning section.
The mean score for Verbal Reasoning section was 456 with a standard
deviation of 132, and the mean score for the Quantitative Reasoning
was 443 with a standard deviation of 153. Suppose that both
distributions are nearly normal. Round calculated answers to 4
decimal places unless directed otherwise.
1.Write down the short-hand...

The number of unemployed persons registered in the 1000s during
the corona pandemic in Sweden has been noted as follows:
January: 410, February: 454, March: 389, April: 438, May: 460.
(a) Fit a linear model with the least squares method to this
data
(b) Estimate the number of registered unemployed in June. Describe
the meaning of extrapolation
in this context.

The table below shows the quantity of workers and total output
for a local pizza parlor. Answer the following questions based on
this table:
Quantity of workers
Total Out put
0
0
1
3
2
3
17
4
22
5
26
6
24
a. When the owner hires 4 workers, the average product of labor
is nothing pizzas. (Enter your response rounded to
two decimal places
b the marginal product of the fifth worker is nothing
pizzas. (Enter...

A business executive has the option to invest money in two
plans: Plan A guarantees that each dollar invested will earn $0.70
a year later, and Plan B guarantees that each dollar invested will
earn $2 after 2 years. In Plan A, investments can be made annually,
and in Plan B, investments are allowed for periods that are
multiples of 2 years only. How should the executive invest $100,000
to maximize the earnings at the end of 3 years? Specify...

We are given a random number generator that generates a uniform
random variable X over the interval [0, 1]. Suppose we flip a fair
coin and if H occurs, we report X and if T occurs, we report 2X +
1. Let Y be the reported random variable.
(a) Derive the cdf and pdf of Y
(b) Which one is more likely to occur: Y ∈ [0,1] or Y ∈ [1,2]?
Explain your answer.

You need a capacitance of 40.0 μF, but you don't happen
to have a 40.0 μF capacitor. You do have a 90.0
μF capacitor.
Part A) You need a capacitance of 40.0 μF, but you
don't happen to have a 40.0 μF capacitor. You do have a
90.0 μF capacitor.
Part B) Should you join the two capacitors in parallel or in
series?

In 2011 a country's federal receipts (money taken in) totaled
$2.32 trillion. In 2013, total federal receipts were $2.75
trillion. Assume that the growth of federal receipts, F, can be
modeled by an exponential function and use 2011 as the base year
(tequals0). a) Find the growth rate k to six decimal places,
and write the exponential function F(t), for total receipts in
trillions of dollars. b) Estimate total federal receipts in 2015.
c) When will total federal receipts be...

How do atmospherics impact consumer behavior?
Specifically which categories have what effect on consumers?

The position x(t), of a damped oscillator with forcing satisfies
the ordinary differential equation ,
i) where f(t) denotes the forcing on the oscillator. (i) If x(0)
= 0, dx dt (0) = 1, f(t) = 4t and the Laplace transform of x(t) is
denoted X(s) = L[x(t)], then show that
X(s) = 1 /(s + 2)^2 + 4 /s^2 (s + 2)^2
ii) Hence find x(t)

Determine if the following statements are true or false.
_____(13)_____Conjugated dienes react more quickly than isolated
alkenes and can be reacted with selectively. _____(14)_____ The
thermodynamic product is the fastest formed product.
_____(15)_____The thermodynamic product and kinetic product are
always different products for all reaction types. _____(16)_____
Conjugated pi systems still follow Markovnikov's rule so as to form
the most stable intermediate cation. _____(17)_____Extended pi
systems become increasingly reactive with electrophiles as the
energy of the intermediate lowers. _____(18)_____Extended pi...

A dipole consisting of a protons and an electron held a distance
d apart is aligned along a z axis. A second proton is then placed
at the midpoint of the line joining the electron and proton of the
dipole. What is the ratio of the electric field magnitude at (0, 0,
10d) to the electric field magnitude at (0, 0, 20d)?

Ginger Rogers makes two comments about discounted cash flow
models applied to dividends and share repurchases:
Statement 1: Because DDMs do not incorporate the cash flows to
investors from repurchases, they systematically understate the
present value of future cash flows from a stock and underestimate
the true rates of return, which should be based on total cash
flows.
Statement 2: Some considerations that might argue against the
corporate use of repurchases are their lack of transparency,
potential unequal treatment of...

What is the instantaneous rate of the reaction at t=800. s? Time
(s)
[A] (M)
0. 0.184
200. 0.129
500. 0.069
800. 0.031
1200. 0.019
1500. 0.016

Find a function such that
f '(x)=x+1
and f(0)=6. Then f(x)=

Suppose BMW issued a bond with 10 years until maturity, a face
value of $1000, and a coupon rate of 7% (annual payments). The
yield to maturity on this bond when it was issued was 6%. a. What
was the price of this bond when it was issued? b. Assuming that the
YTM remains constant, what is the price of the bond immediately
before it makes the first coupon payment? c. Assuming that the YTM
remains constant, what is the...

An investor enters into a PKR500,000 quarterly plain vanilla
interest rate SWAP as fixed rate payer at a fixed rate of 5%. The
floating rate payer agrees to pay 90-day LIBOR plus 1% margin, 90
day LIBOR is currently 3%.
90-day LIBOR rates are
3.5%
90 days from now
4.0%
180 days from now
4.5%
270 days from now
5%
360
days from now
Calculate the amounts investor pays or receives 90,180, 270 and
360 days from now

the specific heat of a gallon of water is __________ the
specific heat of a drop of water.

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