Find the Maximum Value of the Objective Function and Where $\ge$

question 87

Multiple Choice

Find the maximum value of the objective function and where it occurs, subject to the constraints:
Objective function:

Z = x + 9y

Constraints:

X $\ge$ 0
Y $\ge$ 0
X + 4y $\le$ 20
X + y $\le$ 18
2x + 2y $\le$ 21

• A)Maximum at (0, 5): 45
• B)Maximum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : \(\frac { 215 } { 6 }\)
• C)No maximum
• D)Maximum at (0, 0): 0
• E)Maximum at \(\left( \frac { 21 } { 2 } , 0 \right)\) : \(\frac { 21 } { 2 }\)

Recognize the factors determining the technological progressiveness of an industry, including industry concentration and the availability of technological opportunities.

Understand the relationship between marginal cost and R&D expenditures in firms.

Comprehend the role of government in financing basic scientific research and its implications on public goods and externalities.

Identify the optimal level of R&D expenditure for firms based on marginal cost and benefit analysis.

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Definitions:

Break-Even Sales

The amount of revenue required to cover a company's total fixed and variable costs, beyond which the company starts generating a profit.

Blue Division

A hypothetical division or business unit within a company, perhaps denoted for identification or strategic purposes.

Net Operating Income

The profit generated from a company's everyday operations, excluding income and expenses not related to its core activities.

Contribution Format

A statement or report format, primarily used in managerial accounting, that separates fixed and variable costs to evaluate the performance of a profit center.