Firm 1 will be given a quota of 692.31 units, and Firm 2 will be given a quota of 307.69 units.
To determine how the government agency will divide the 1000 units of pollution between the two firms, we need to consider their marginal costs of pollution abatement and the constraint that their combined pollution cannot exceed 1000 units.
Let's solve for the optimal allocation using the given marginal cost functions:
1. Set up the optimization problem:
Maximize total pollution abatement subject to the constraint:
x₁ + x₂ ≤ 1000
2. Determine the marginal cost functions for each firm:
Firm 1's marginal cost of pollution abatement: c₁(x₁) = 6000.00 + 4.00x₁
Firm 2's marginal cost of pollution abatement: c₂(x₂) = 1500.00 + 8.00x₂
3. Formulate the objective function:
Maximize c₁(x₁) + c₂(x₂)
4. Solve the optimization problem using the given constraint:
Subject to x₁ + x₂ ≤ 1000
By substituting the marginal cost functions, the problem becomes:
Maximize (6000.00 + 4.00x₁) + (1500.00 + 8.00x₂)
Subject to x₁ + x₂ ≤ 1000
5. Solve the optimization problem to find the optimal allocation:
By solving the problem, we find that x₁ ≈ 692.31 and x₂ ≈ 307.69.
Therefore, the government agency will allocate a quota of approximately 692.31 units to Firm 1 and a quota of approximately 307.69 units to Firm 2 to ensure that the combined pollution does not exceed 1000 units.
The complete question is:
Two firms operate in a manufacturing industry that generates a significant amount of pollution. The local government has decided to crack down and limit the total amount of pollution to 1000 units. Each firm has a different cost of cleaning up its production process. Firm 1's marginal cost of pollution abatement is c₁(x₁) = 6000.00 +4.00 x₁ and firm 2's marginal cost of abatement is C₂(x₂) = 1500.00+ 8.00(x₂), where x₁ and x₂ are the amounts of pollution emitted by each firm. The two firms are constrained to produce no more than the 1000 units of pollution combined. 1st attempt See Hint
Suppose that a government agency is able to estimate the pollution abatement equations and set quotas for each firm. How will it divide up the 1000 units of pollution between the two? Give all answers to two decimals.
Firm 1 will be given a quota of____ units and firm 2 will be given a quota of ___units.
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Answer:
Operations.
Explanation:
A financial statement is a written report that quantitatively describes a firm's financial health. Under the financial statements is a cash-flow statement, which is used to record the cash inflow and cash equivalents leaving a business firm.
A cash flow statement, also known as the statement of cash flows, contains financial information about operating, financial and investing activities.
The activities that involve the production or purchase of merchandise and the sale of goods and services to customers, including expenditures related to administering the business, are classified as operating activities. All the net income or cash from all operational business activities of a company is recorded as operating activities.
Hence, operations is a function of business that focuses on ongoing activities at the business with a focus on running efficiently. Simply stated, operations has to do with all the day-to-day tasks, responsibilities and functions that are being performed for the successful and smooth running of a business.
people more economic freedom.
2.)Government should not control the
money supply.
3.)Government intervention is necessary
for stability.
4.)Competition is a regulatory force.
A.) Adam Smith
B.)Friedrich Von Hayek
C.)John Maynard Keyness
D.) Milton Friedrich
Answer:
b goes to 1, d goes to 2, c goes to 3 and a goes to 4
Explanation:
job qualifications.
job salaries.
health benefits.
Answer:
B
Explanation:
b. to give power
c. to distribute responsibility
d. to control spending
Answer:
B. accountability
Explanation:
Based on the information provided within the question it can be said that the term being mentioned is accountability. This term refers to an individual being responsible for something that if not done they have to answer for and accept the consequences. Which in this scenario, the employee has certain tasks that are expected to be completed by him/her and if they are not then he/she is accountable and the employer may decide a certain punishment such as firing the employee.
Answer:
Effective leadership
Explanation:
Effective leadership is being about a good leader which encourages transparency. Good leaders exhibit confidence, courage, passion, ambition and commitment. In this leadership, the strengths as well as the talents of the people are nurtured and also people are motivated to achieve further goals. There are talks about poor results and work together to overcome the issues.
Hence, the given practice demonstrate effective leadership.