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Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000\$75000 and use at least 320320 workers to build cars and motorbikes.\newline8000C+5500M750008000C+5500M \leq 75000 represents the number of cars CC and motorbikes MM the company can build by spending at most $75000\$75000.\newline52C+38M32052C+38M \geq 320 represents the number of cars and motorbikes the company can build by using at least 320320 workers.\newlineCan the company meet both of its expectations by building 44 cars and 66 motorbikes?\newlineChoose 11 answer:\newline(A) The company meets both of its expectations.\newline(B) The company uses the expected amount of money but not the expected number of workers.\newline(C) The company uses the expected number of workers but not the expected amount of money.\newline(D) The company doesn't meet either of its expectations.

Full solution

Q. Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000\$75000 and use at least 320320 workers to build cars and motorbikes.\newline8000C+5500M750008000C+5500M \leq 75000 represents the number of cars CC and motorbikes MM the company can build by spending at most $75000\$75000.\newline52C+38M32052C+38M \geq 320 represents the number of cars and motorbikes the company can build by using at least 320320 workers.\newlineCan the company meet both of its expectations by building 44 cars and 66 motorbikes?\newlineChoose 11 answer:\newline(A) The company meets both of its expectations.\newline(B) The company uses the expected amount of money but not the expected number of workers.\newline(C) The company uses the expected number of workers but not the expected amount of money.\newline(D) The company doesn't meet either of its expectations.
  1. Calculate total cost: Calculate the total cost for 44 cars and 66 motorbikes using the cost equation 8000C+5500M750008000C + 5500M \leq 75000.
  2. Check budget limit: Check if the total cost of $65000\$65000 is within the budget of $75000\$75000.
  3. Calculate workers needed: Calculate the total number of workers needed for 44 cars and 66 motorbikes using the worker equation 52C+38M32052C + 38M \geq 320.
  4. Check worker requirement: Check if the total number of workers 436436 is at least 320320.