Question

The company can manufacture either two food processors per machine hour or three espresso machines per machine hour. The company's production capacity is 1,400 machine hours per month. The company has demand for 2,100 food processors and 1,800 espresso machines per month.

What is the maximum number of food processors and espresso machines that the company can produce each month, respectively?
(A) 2,800 food processors, 0 espresso machines
(B) 1,400 food processors, 1,400 espresso machines
(C) 2,100 food processors, 700 espresso machines
(D) 1,050 food processors, 1,050 espresso machines

Answer 1

The company can produce a maximum of 2,100 food processors and 700 espresso machines per month.

Step-by-step explanation:

To find the maximum number of food processors and espresso machines that the company can produce each month, we need to compare the production capacity with the demand for each product.

The company can manufacture 2 food processors per machine hour, so in 1,400 machine hours, they can produce 2 x 1,400 = 2,800 food processors.

The company can manufacture 3 espresso machines per machine hour, so in 1,400 machine hours, they can produce 3 x 1,400 = 4,200 espresso machines.

However, the demand for food processors is only 2,100, so the maximum number of food processors the company can produce is 2,100.

Similarly, the demand for espresso machines is only 1,800, so the maximum number of espresso machines the company can produce is 1,800.

Therefore, the correct answer is option (C) 2,100 food processors and 700 espresso machines.