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
This is a <u>true</u> statement. If you can imagine yourself as a prospect who can get answers to your questions and as a character in a business story, you'll be more likely to buy from them rather than a business to which you can't relate.
To effectively tell your company's story, you must have a mission and supporting values that your prospects can relate to.
Your content's narrative conflict should be driven by the needs, problems, and buyer's journey stage of your prospects.
Always keep in mind that every story needs three storytelling components, such as characters, conflict, and resolution, so make sure yours is accurate and relatable.
Learn what appropriate questions a prospective buyer should ask about the operation of the business when buying an existing business: brainly.com/question/25211092
#SPJ4
Speak with confidence
encourage the interviewer to do most of the talking- after all he is the interviewer, you don't want to dominate the interview
I would say 33.. But im not 100% sure
