Answer;
Firms --> Market For Goods and Services --> Households
Explanation;
In product markets, business firms supply and sell goods and services while households demand and buy them. Households supply and sell factors of production, such as labor, while business firms demand and buy them.
In a market economy households provide resources and labor and purchase goods and services while firms provide goods and services and purchase resources and labor. The goal of firms in a market economy is to maximize their profits. This can best be achieved by minimizing costs in the resource market and maximizing revenues in the product market.
Answer:
$6.00
Explanation:
Given data
quantity demanded ( x ) ∝ 1 / p^3 for p > 1
when p = $10/unit , x = 64
initial cost = $140, cost per unit = $4
<u>Determine the price that will yield a maximum profit </u>
x = k/p^3 ----- ( 1 ). when x = 64 , p = $10 , k = constant
64 = k/10^3
k = 64 * ( 10^3 )
= 64000
back to equation 1
x = 64000 / p^3
∴ p = 40 / ∛x
next calculate the value of revenue generated
Revenue(Rx) = P(price ) * x ( quantity )
= 40 / ∛x * x = 40 x^2/3
next calculate Total cost of product
C(x) = 140 + 4x
Maximum Profit generated = R(x) - C(x) = 0
= 40x^2/3 - 140 + 4x = 0
= 40(2/3) x^(2/3 -1) - 0 - 4 = 0
∴ ∛x = 20/3 ∴ x = (20/3 ) ^3 = 296
profit is maximum at x(quantity demanded ) = 296 units
hence the price that will yield a maximum profit
P = 40 / ∛x
= ( 40 / (20/3) ) = $6
Answer:
V(t) = $ 1.5 billion for 2007
V(t) = $1.5 billion, 295 million. For 2012
Doubling time = t = 177.69 yrs
Explanation:
a).
V(t) = 1.5e^(0.039t)
For the first year 2007, t= 0
V(t) = 1.5e^(0.039*0)
V(t). = 1.5e^0
V(t) =. 1.5*1 = 1.5
V(t) = $ 1.5 billion for 2007
For 2012 that is 5 years after,t= 5
V(t) = 1.5e^(0.0039*5)
V(t) = 1.5e^ (0.0195)
V(t) = 1.5(1.019691367)
V(t) = 1.5295
V(t) = $1.5 billion, 295 million.
b). Doubling time is when the value of the export is 1.5 *2 =$ 3 billion
3 = 1.5e^(0.0039t)
3/1.5= e^(0.0039t)
2 = e^0.0039t
In 2 = 0.0039t
0.693= 0.0039t
t = 177.69 yrs