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
They are using the Dual income and no kids method
Answer:
Future Value= $156,901.16
Explanation:
Giving the following information:
Assume Coronado Industries deposits $98000 with First National Bank in an account earning interest at 8% per annum, compounded semi-annually.
To calculate the future value of this investment, we need to use the following formula:
FV=PV*(1+i)^n
PV= 98,000
i= 0.08/2= 0.04
n= 6*2= 12
FV= 98,000*(1.04^12)= $156,901.16
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When pietro, a new restaurant owner, is determining which products to offer on his menu, he is involved in the management function of planning.
This statement is true.
Planning means looking ahead and chalking out the future courses of action to be followed. It is a preparatory step of every management . It is a systematic activity which determines the process of when, how and who is going to perform a specific job.
Planning is a detailed programme which is related to future courses of action.
To know more about planning here:
brainly.com/question/22590420
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