A chocolate-making company makes two types of chocolates. Each batch of white chocolate requires 0.5 hours for blending and 1.5 hours for moulding. Each batch of dark chocolate requires 1.2 hours for blending and 1.8 hours for moulding. The company's blending machine can work for maximum 42 hours in a week, and the moulding machine can work for maximum 35 hours in a week. Let W represent the number of batches of white chocolate that the company can manufacture in a week and D represent the number of batches of dark chocolate that the company can manufacture in a week.

Question

anonymous · Answer

Which of the following statements best explains whether the company will be able to make 50 batches of white chocolate and 20 batches of dark chocolate in a week?

The company will be able to make these numbers in a week because of the system restrictions of 0.5W + 1.8D ≤ 42 and 1.5W + 1.2D ≤ 35.

 The company will be able to make these numbers in a week because of the system restrictions of 0.5W + 1.5D ≤ 42 and 1.2W + 1.8D ≤ 35.

 The company will not be able to make these numbers in a week because of the system restrictions of 0.5W + 1.2D ≤ 42 and 1.5W + 1.8D ≤ 35.

 The company will not be able to make these numbers in a week because of the system restrictions of 0.5W + 1.2W ≤ 42 and 1.5D + 1.8D ≤ 35.

imstuck · Answer

It is the third one down:  The company will not be able to make these numbers in a week because of the system restrictions of .5W + 1.2D has to be less than or equal to 42.  Making these batches would require the blending machine to work 49 hours and it can only work 42.  Making these batches would require the moulding machine to work 111 hours a week and it can only work 35.  So the answer is the third one down.  Do you know how I got all that?