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The price-demand equation of a certain bag is given by z = 6000 - 30p, where a is the number of units that can be sold monthly at a price p pesos per piece. In addition, the cost of producing each bag is 60 pesos, with an overhead cost of 72,000 pesos. (a) Determine the revenue function and the break-even points, i.e., the production level where the revenue is equal to the cost. (b) Find the marginal profit at a = 1500.

The price-demand equation of a certain bag is given by z = 6000 - 30p, where a is the number of units that can be sold monthly at a price p pesos per piece. In addition, the cost of producing each bag is 60 pesos, with an overhead cost of 72,000 pesos. (a) Determine the revenue function and the break-even points, i.e., the production level where the revenue is equal to the cost. (b) Find the marginal profit at a = 1500.

Advanced Engineering Mathematics
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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- The price-demand equation of a certain bag is given by a 6000- 30p, where x is the number of units that can be sold monthly at a price p pesos per piece. In addition, the cost of producing each bag is 60 pesos, with an overhead cost of 72,000 pesos. (a) Determine the revenue function and the break-even points, i.e., the production level where the revenue is equal to the cost. (b) Find the marginal profit at x = 1500.
Transcribed Image Text:- The price-demand equation of a certain bag is given by a 6000- 30p, where x is the number of units that can be sold monthly at a price p pesos per piece. In addition, the cost of producing each bag is 60 pesos, with an overhead cost of 72,000 pesos. (a) Determine the revenue function and the break-even points, i.e., the production level where the revenue is equal to the cost. (b) Find the marginal profit at x = 1500.
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