An oil company wants to decide how to allocate its budget. The government grants certain tax...
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An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents. An oil company wants to decide how to allocate its budget. The government grants certain tax breaks if the company invests funds in research concerned with energy conservation. However, the government stipulates that at least 35 percent of the funds must be funneled into research for automobile efficiency (methanol fuel research and emission reduction). The company has a budget of $4 million for investment. The research proposal data are shown in the following table. Project Maximum Investment Methanol fuel research Emission reduction Solar cells Windmills Allowed $900,000 $485,000 $800,000 $650,000 Annual Return on Investment 4.5% 4.0% 4.0% 3.8% The company wants to receive the government tax break. How much money should be invested in each project if the company wants to maximize total annual return on its investments? Formulate a linear optimization model for the above situation. (a) Define the decision variables for this problem. (b) Determine the objective function for this problem. What does it represent? (c) Determine all the constraints for this problem. Briefly describe what each constraint represents.
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a Decision Variables Lets define the decision variables as follows Let x1 be the amount i... View the full answer
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