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Eduardwww [97]
3 years ago
10

Without using calculus or any other advanced math, the MS Solver plug-in can be used to find the input value for x that results

in a maximum value for a function f(x). The price x is in the Solver "variable cell" and the function 1000x – 300x^2 is the Solver "objective." Question: What is the price x that maximizes weekly revenues?

Business
1 answer:
erik [133]3 years ago
4 0

Answer:

The weekly revenue is maximum at x=1.67.

Explanation:

The given function is

f(x)=1000x -300x^2         .... (1)

where, f(x) is the total revenue at price x.

We need to find the price x at which the weekly revenue is maximum.

The leading coefficient of the given function is -300, which is a negative number. So, it is a downward parabola and vertex of a downward parabola is the the point of maxima.

If a parabola is defined as

g(x)=ax^2+bx+c           ... (2)

then the vertex of the function is

(-\frac{b}{2a},g(-\frac{b}{2a}))

From (1) and (2) it is clear that

a=-300,b=1000, c=0

The given function is maximum at

-\frac{b}{2a}=-\frac{1000}{2(-300)}

-\frac{b}{2a}=\frac{10}{6}

-\frac{b}{2a}=1.66667

-\frac{b}{2a}\approx 1.67

Therefore the weekly revenue is maximum at x=1.67.

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3 years ago
A dressmaker can sew 400 garments with 100 bolts of fabric and 1,500 hours of labor. Another dressmaker can sew 400 garments wit
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Answer:

No, because the second method has lower total costs of production.

Explanation:

In a bid to make profits businesses must always compare different processes and choose the cheapest one.

This will eventually reflect in the profitability of the business.

In this instance let's get the cost of each process.

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3 years ago
What happens at oceanic-continental convergent boundaries
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Your portfolio is 310 shares of Callahan, Inc. The stock currently sells for $101 per share. The company has announced a dividen
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Answer:

$31,240

Explanation:

Calculation for what is your portfolio value as of April 19

Using this formula

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Therefore your portfolio value as of April 19 will be $31,240

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