For the function: y = 0.01x- 0.001x² Find the zeros, the vertex and the optimum value (max. or min.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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SECONU SCIllCSTCI Z UZU/ Z021
Math for Administration
Assignment 2
Question 1
For the function:
y
= 0.01x- 0.001x²
Find the zeros, the vertex and the optimum
value (max. or min.)
Question 2
Suppose a company has fixed costs of $300
and variable
3
costs of x + 1460 dollars per unit,
4
where x is the
total number of units produced. Suppose
further that the
1
X-
4
selling price of its product is 1500
dollars per unit.
(a) Find the break-even points.
(b) Find the maximum revenue.
(c) Form the profit function from the cost and
revenue
functions and find maximum profit.
(d) What price will maximize the profit?
ملاحظة: الحل يكتب بخط اليد ويصور ويتم التسليم فقط على
شكل ملف )بي دي اف( ولن يتم تصحيح اي واجب على
II
<>
Transcribed Image Text:SECONU SCIllCSTCI Z UZU/ Z021 Math for Administration Assignment 2 Question 1 For the function: y = 0.01x- 0.001x² Find the zeros, the vertex and the optimum value (max. or min.) Question 2 Suppose a company has fixed costs of $300 and variable 3 costs of x + 1460 dollars per unit, 4 where x is the total number of units produced. Suppose further that the 1 X- 4 selling price of its product is 1500 dollars per unit. (a) Find the break-even points. (b) Find the maximum revenue. (c) Form the profit function from the cost and revenue functions and find maximum profit. (d) What price will maximize the profit? ملاحظة: الحل يكتب بخط اليد ويصور ويتم التسليم فقط على شكل ملف )بي دي اف( ولن يتم تصحيح اي واجب على II <>
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