A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit. 1 It estimates the cost function of the product to be Tk. 1000 + 2 50 for q units produced. (i) Find the expression for the total profit, if q units are produced and sold. (ii) Find the number of units produced that will maximize profit. (iii)What is the amount of this maximum profit? (iv) What would be the profit if 6000 units were produced?
A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit. 1 It estimates the cost function of the product to be Tk. 1000 + 2 50 for q units produced. (i) Find the expression for the total profit, if q units are produced and sold. (ii) Find the number of units produced that will maximize profit. (iii)What is the amount of this maximum profit? (iv) What would be the profit if 6000 units were produced?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit.
It estimates the cost function of the product to be Tk.
1000+
for q units produced.
50
(i) Find the expression for the total profit, if q units are produced and sold.
(ii) Find the number of units produced that will maximize profit.
(iii)What is the amount of this maximum profit?
(iv) What would be the profit if 6000 units were produced?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F065e2749-1d28-46f8-9d2e-c21817012024%2Fb5ca2289-7151-4d15-8139-72256e366d58%2Fpkh7mxh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company finds that it can sell out a certain product that it produces, at the rate of Tk. 2 per unit.
It estimates the cost function of the product to be Tk.
1000+
for q units produced.
50
(i) Find the expression for the total profit, if q units are produced and sold.
(ii) Find the number of units produced that will maximize profit.
(iii)What is the amount of this maximum profit?
(iv) What would be the profit if 6000 units were produced?
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