Use the case below to answer the following question(s).
S&N Manufacturing makes four different steel sheets,A,B,C,and D,with different percentages of iron.Each sheet must flow through five departments,forming,rolling,sintering,painting,and quality check.The table below shows the relevant data.Production rates are shown in units/hour.(Sheet A uses imported steel and does not require rolling.) S&N wants to determine the number of steel sheets to produce in order to maximize monthly profit.
Let A,B,C,and D denote the number of units of model A,B,C,and D to be produced,respectively.
-Which of the following is the inequality/equality that describes the time constraint of the rolling department?
A)B/15 + C/10 + D/10 ≥ 330
B)B/30 + C/20 + D/20 ≤ 330
C)B/45 + C/30 + D/30 = 330
D)B/60 + C/40 + D/40 = 330

Question

Use the case below to answer the following question(s).
S&N Manufacturing makes four different steel sheets,A,B,C,and D,with different percentages of iron.Each sheet must flow through five departments,forming,rolling,sintering,painting,and quality check.The table below shows the relevant data.Production rates are shown in units/hour.(Sheet A uses imported steel and does not require rolling.)   S&N wants to determine the number of steel sheets to produce in order to maximize monthly profit.
Let A,B,C,and D denote the number of units of model A,B,C,and D to be produced,respectively.
-Which of the following is the inequality/equality that describes the time constraint of the rolling department?
A)B/15 + C/10 + D/10 ≥ 330 
B)B/30 + C/20 + D/20 ≤ 330 
C)B/45 + C/30 + D/30 = 330 
D)B/60 + C/40 + D/40 = 330

Quizplus · Accepted Answer

The rolling department has a production rate of 30 units/hour for sheet B, 20 units/hour for sheet C, and 20 units/hour for sheet D. Therefore, the time constraint for the rolling department can be expressed as:
(B/30) + (C/20) + (D/20) ≤ rolling hours available per month
Substituting the value of rolling hours available per month as 330 gives us:
(B/30) + (C/20) + (D/20) ≤ 330
which is the inequality described in option B.

Use the Case Below to Answer the Following Question(s)