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:
B. Cost of goods sold will be too low by $5,000.
Explanation:
Overstatement in closing inventory has two effects. First in income statement, that the cost of goods sold is decreased by the same amount that is overstated. Second is overstatement of Inventory value in the asset section of balance sheet. According to the given scenario The effect of this event should be as cost of goods sold will be too low by $5,000.
Cans of soup are charitable contributions. giving money to the poor is a form of charity.
The court did not uphold the injunction because the property on which Mcpherson wants to build the Gas station that belongs to Mcpherson has the right to build a gas station on that so Mcpherson challenged this decision any upper court.
<h3>
What is an Injunction?</h3>
An injunction is a legal order requiring a person or entity to either cease doing or else start doing some specific action or task.
Thus, in this case, Mcpherson can challenge the lower court's decision in the upper court that prevents him from making a gas station on land that belongs to him.
Learn more about Injunction here:
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If sally is creative then being a poet would make the most sense