Question 6A manufacturer estimates that when q thousand units of a particular commodityare produced each month, the total cost will beC(q) = 0.4q² + 3q + 40thousand rands, and all q units can be sold at a price ofp(4) = 22.2 – 1.2grands per unit.Questions 6 continues,(a) The profit function is given byP(a) = aq" + cq“ + e.(b) Determine the level of production, that is the value of q, that maximizesthe profits. q= .(c) What is the maximum profit? P = ...2.

The profit is the difference of of revenue and cost function. The revenue function is the product of…

A manufacturer estimates that when q thousand units of a particular commodity are produced each month, the total cost will be C(q) = 0.4q² + 3q + 40 thousand rands, and all q units can be sold at a price of p(a) = 22.2 – 1.2g rands per unit. Questions 6 continues, (a) The profit function is given by P(q) = aq° + cq" + e. (b) Determine the level of production, that is the value of q, that maximizes the profits. q . (c) What is the maximum profit? P =..

A manufacturer estimates that when q thousand units of a particular commodity are produced each month, the total cost will be C(q) = 0.4q² + 3q + 40 thousand rands, and all q units can be sold at a price of p(a) = 22.2 – 1.2g rands per unit. Questions 6 continues, (a) The profit function is given by P(q) = aq° + cq" + e. (b) Determine the level of production, that is the value of q, that maximizes the profits. q . (c) What is the maximum profit? P =..

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

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