The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
Knowing what stage of the product life cycle a product is in helps marketers make intelligent and efficient marketing decisions.
<h3>What is the product life cycle?</h3>
The stages that a product goes through as it enters, establishes itself and leaves the market are defined by the Product Life Cycle (PLC). The product life cycle, in other words, outlines the stages that a product is likely to go through. Managers can use it to examine their products and create plans as they move through different stages.
When a product is first introduced to the market, a company frequently faces higher marketing expenses; nevertheless, as product adoption rises, more sales are realized.
When a product's adoption matures, sales stabilize and peak, however they may decline due to competition and obsolescence. When making business decisions, from pricing and advertising to expansion or cost-cutting, the idea of product life cycle might be helpful.
To learn more about the product life cycle, visit:
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Answer: c. Total Assets/ Equity
Explanation:
To measure the Return on Equity with 3 ratios, the <em>DuPont Analysis</em> can be used. This is a technique of deconstructing the Return on Equity ratio into various constituent ratios so that their effect on Return on Equity is better know.
The basic DuPont Analysis is;
Return on Equity = 
Total Assets/ Equity or the Assets to Shareholder Equity ratio is the answer.
Answer:
$5,175
Explanation:
The computation of the amount after 8 month is as follows
As we know that
Amount = Principal × (1 + interest rate × number of days ÷ total number of days)
where,
Principal = $5,000
Interest rate = 5.25%
Number of days = 30 days × 8 months = 240 days
And, the total number of days = 360 days
So, the amount after 8 months is
= $5,000 × (1 + 5.25% × 240 days ÷ 360 days)
= $5,000 × 1.035
= $5,175
