Use Inequalities to Describe Limitations in a Situation
-A Steel $\$ 0.75$

question 273

Multiple Choice

Use Inequalities to Describe Limitations in a Situation
-A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:
- Part A requires 1 hour of casting time and 10 hours of firing time.
- Part B requires 4 hours of casting time and 3 hours of firing time.
- The maximum number of hours per week available for casting and firing are 100 and 70 , respectively.
- The cost to the company is $\$ 0.75$ per part $A$ and $\$ 3.00$ per part $B$ . Total weekly costs cannot exceed $\$ 45.00$ .
Let $\mathrm { x } =$ the number of part A produced in a week and $\mathrm { y } =$ the number of part B produced in a week. Write a system of three inequalities that describes these constraints.

• A)
• \(\begin{array}{r}
• x+4 y \leq 100 \\
• 10 x+3 y \leq 70 \\
• 0.75 x+3 y \leq 45
• \end{array}\)
• B)\(\begin{array}{r}
• x+10 y \leq 100 \\
• 4 x+3 y \leq 70 \\
• 0.75 x+3 y \leq 45
• \end{array}\)
• C)\(\begin{array}{r}
• x+10 y \geq 100 \\
• 4 x+3 y \geq 70 \\
• 0.75 x+3 y \leq 45
• \end{array}\)
• D)
• \[\begin{array} { r r }
• x + & 4 y \leq 100 \\
• 10 x + 3 y \leq & 70 \\
• 3 x + 0.75 y \leq & 45
• \end{array}\]

Understand the use of predetermined overhead rates in the allocation of manufacturing overhead.

Determine total manufacturing costs including direct materials, labor, and applied overhead.

Grasp the concept of indirect materials in job costing and how it is accounted for.

Understand the process of accumulating manufacturing costs in a job order cost system.

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