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
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Answer:
1. What was the product's operating income(loss) last year = $90,000 loss
2. What is the product's Break even point in unit sales and dollars
• Break even sales in units 18,000
• Break even i n sale dollars $1,260,000
3. Maximum annual profit given an increment of 5,000 units and reduction of sales price per unit by $2.
• Net profit of $20,000
4. What would be the break even point in unit sales and dollars using the selling price that you determined in requirement 3.
• Break even sales units 19,285.7
• Break even in sales dollars $1,311,427.6
Explanation:
Please see attached detailed solution to the above questions and answers.
Answer:
$0.85 and three cans
Explanation:
Data given in the question
Price per can = $0.50
First can paying price = $0.95
Second can paying price = $0.80
Third can paying price = $0.60
Fourth can paying price = $0.40
So by considering the above information, the noah can buy three cans as the prices are high
So, the consumer surplus is
= First can + second can + third can
where,
First can = $0.95 - $0.50 = $0.45
Second can = $0.80 - $0.50 = $0.30
Third can = $0.60 - $0.50 = $0.10
So, the total consumer surplus is
= $0.45 + $0.30 + $0.10
= $0.85
The ability of Miguel to recall those brands of detergent is known as Retrieval set in marketing.
In marketing, the term "Retrieval set refers to series of brands that a consumer can recall from their memory whether they are making purchase or not".
Here, Miguel can easily call to his mind different brand of laundry detergents whether he is considering buying them or not.
The ability to recall those brands is known as Retrieval set in marketing.
Therefore, the Option A is correct.
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<em>brainly.com/question/8570566</em>
