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: Assets
Explanation:
Assets are something that a business owns that is able to bring in money or is a store of value.
All the above mentioned items are considered assets as they fit this description.
Accounts receivable is a current asset which means it has a duration of a period or less.
Equipment, building and land are all fixed assets as they have a duration of more than one period.
The correct answers are four and four (4,4).
Why? Since Nettie was able to produce 8 cupcakes and 4 hamburgers within an hour, which gives her 8 cupcakes and 4 hamburgers available for trading while Becky was able to produce 4 cupcakes and 8 hamburgers in an hour. When they traded each other for a certain food its value will be equal to the opposite food, like 1 hamburger is equivalent to 1 cupcake, Nettie consumed 4 hamburgers, while Becky consumed 4 cupcakes, which is why they both consumed 4 pieces of food each after their trade.
Answer: The correct answer is "3. platform project".
Explanation: This project is a platform project for Coolers Inc. because the change of voice sensors instead of remote controls or manual operations represents a change of platform for their products in which they have improved their technology.
Answer:
Answer is option b i.e. will produce a plan that may not be the best plan.
Explanation:
Simulation is the technique used to create an artificial environment that is similar to the real-life situation to study various problems and how to tackle them. However, it is not the full proof plan which means it is based on certain probability and chances that a certain situation might arise. Many times situations are not as planned and here we cannot solely depend on the solution that we have learned during the simulation process. Therefore, the simulation will provide us with a plan that may or may not be the best plan.