The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
Answer:
6.97%
Explanation:
the formula to be used is
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
$4,100.00 = $3,350.00 x ( 1 + r)^3
divide both sides of the equation by $3,350.00
$4,100.00 / $3,350.00 = ( 1 + r)^3
1.223881 = ( 1 + r)^3
find the cube root of both sides
1.069661 = 1 + r
r = 6.97%
Answer:
Options C and E
Only Nick and Jake are optimising over his choice of fruit?
Explanation:
The marginal utility obtained from the purchase of a product is the amount of satisfaction derived from purchasing an additional unit of the product.
The utility is maximised when the satisfaction in terms of marginal utilities obtained from each product is equal to each other.
We obtain this simply by dividing the marginal utilities for each fruit by their price, and comparing them.
Dmitiri:
Apples: 8/1 =8
Pears: 10/2 =5
8/1 is not equals to 10/2
Frances:
Apples: 7/1 =7
Pears: 16/2 =8
7 is not equals to 8
Jake:
Apples: 6/1 =6
Pears: 12/2 =6
The marginal utility is equal hence Jake's choice is optimal
Latasha:
Apples: 5/1 =9
Pears: 9/2 =4.5
9 is not equals to 4.5
Nick:
Apples: 4/1 =4
Pears: 8/2 =4
The marginal utility is equal hence Nick's choice is optimal
Answer:
exclusive dealing
Explanation:
Exclusive dealing -
It is the method , where a deal is set up between a specific supplier and the wholesaler or the retailer , where the no other distributor would be able to receive the supply , is referred to as exclusive dealing.
In this scenario no other dealer can not handle the product in any case.
Hence , from the scenario of the question,
The correct option is exclusive dealing .
Answer:
The correct answer is option i.
Explanation:
A firm is operating in a perfectly competitive market.
The firm is selling 200 units of output.
The price of each unit of output is $3.
In a perfectly competitive market, a single firm faces a horizontal line demand curve. This horizontal line represents demand, price line, average revenue, and marginal revenue.
So if the price is $3, it implies that the marginal revenue and average revenue is also equal to $3.
The total revenue is $600.
