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:
7/16
Explanation:
Opportunity cost is the cost of the alternative forgone. It is also called the real cost. It is a concept in economics developed due to the fact that wants are unlimited but the resources available to meet the wants are limited. Hence a scale of preference would be drawn up for the wants in order of importance.
If the family can afford either 80 cans of beans or 35 frozen pizzas, the cost of a can of beans in terms of frozen pizza is 35/80 frozen pizza while the cost of a unit of frozen pizza in terms of beans is 80/35.
As such, the opportunity cost of one can of beans in terms of frozen pizza is 35/80 which is 7/16 in the lowest term
Answer:
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Answer: I can’t give an exact answer but i can help you get on the right path an experience is The knowledge or skill acquired by experience of carrying out a task or chore over a period of time, Especially that gained in a particular profession by working a position in a job for certain amount of time that you can carry out that procedure independently with out needing instructions or training first