Answer:
Value of x maximising profit : x = 5
Explanation:
Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x
Profit : Revenue - Cost = R(x) - C(x)
28x - [x^3 - 6x^2 + 13x + 15] = 28x - x^3 + 6x^2 - 13x - 15
= - x^3 + 6x^2 + 15x - 15
To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.
dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0
3x^2 + 3x - 15x - 15 = 0 ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0
x + 1 = 0 ∴ x = -1 [Rejected, production quantity cant be negative] ;
3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5
Double derivate : d^2TP/dx^2 = - 6x + 12
d^2TP/dx^2 i.e - 6x + 12 at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5
Answer:
True
Explanation:
Because in Friedman's view making profit is the only social responsibility of the company. He said this because in his view the company has to earn profit for investments and if the company makes investments, it would create jobs and increased exports. So this means this is the best social responsibility in context of a economist, the company can pursue.
Answer:
7.44 %
Explanation:
The Yield to Maturity (YTM) is the Interest rate that makes the Present Value of Coupons and Principle equal the Market Price or Current Price of the Bond.
The Yield to Maturity can be calculated using a financial calculator as follows :
PV = - $100
N = (15 -2) × 2 = 26
PMT = ($100 × 7.30%) ÷ 2 = $3.65
FV = $103
P/YR = 2
YTM = ?
Therefore, Inputting the values in the calculator as shown gives the Yield to Maturity is 7.44 %.
Answer: $19,800
Explanation;
The Monopolist will maximize output at the point where Marginal Revenue equals Marginal Cost because at this point all resources are being fully utilized.
Total Cost = Average Total Cost * Quantity produced
At the point where MR=MC, the quantity produced is 1,100 units.
The Average Total Cost tallying with this is $18 per unit.
Total Cost = 18 * 1,100
= $19,800
Answer:sales must have amounted to:$704,000
Explanation:
Contribution ratio = Sales ratio - Variable cost ratio
= 100%- 75%
=25%
Sales to break even = Fixed expenses / Contribution margin ratio
Therefore,
Fixed expenses = Sales to break even x Contribution margin ratio
=$840,000 x 25%
=$210,000
Contribution margin can also be calculated as
Fixed expenses- Operating loss
=$210,000 -$34,000
=$176,000
Sales = Contribution margin/ Contribution ratio
= $176,000/25% =$704,000
