Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000 and use at least 320 workers to build cars and motorbikes. 8000 C+5500 M = 320 represents the number of cars and motorbikes the company can build by using at least 320 workers. Can the company meet both of its expectations by building 4 cars and 6 motorbikes? Choose 1 answer: (A) The company meets both of its expectations. B Dhe company uses the expected amount of money but not the expected number of workers. (C) The company uses the expected number of workers but not the expected amount of money. (D) The company doesn't meet either of its expectations.

Question

Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most  $75000 and use at least 320 workers to build cars and motorbikes.  8000 C+5500 M <= 75000 represents the number of cars  C and motorbikes  M the company can build by spending at most  $75000.  52 C+38 M >= 320 represents the number of cars and motorbikes the company can build by using at least 320 workers. Can the company meet both of its expectations by building 4 cars and 6 motorbikes? Choose 1 answer: (A) The company meets both of its expectations. B Dhe company uses the expected amount of money but not the expected number of workers. (C) The company uses the expected number of workers but not the expected amount of money. (D) The company doesn't meet either of its expectations.

Bytelearn · Accepted Answer

Check Budget Expectation: Check if the company meets the budget expectation. The budget constraint is given by the inequality 8000C + 5500M <= 75000. Let's substitute C = 4 and M = 6 into the inequality to see if it holds true. Calculation: 8000(4) + 5500(6) = 32000 + 33000 = 65000. Since 65000 <= 75000, the budget expectation is met.Check Labor Expectation: Check if the company meets the labor expectation. The labor constraint is given by the inequality 52C + 38M >= 320. Let's substitute C = 4 and M = 6 into the inequality to see if it holds true. Calculation: 52(4) + 38(6) = 208 + 228 = 436. Since 436 >= 320, the labor expectation is met.Determine if Expectations are Met: Determine if both expectations are met. Since the company meets both the budget expectation (Step 1) and the labor expectation (Step 2), we can conclude that the company meets both of its expectations by building 4 cars and 6 motorbikes.

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