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Snowcat [4.5K]
3 years ago
15

One of Hartman Company's activity cost pools is inspecting, with estimated overhead of $140,000. Hartman produces throw rugs (70

0 inspections) and area rugs (1,300 inspections). How much of the inspecting cost pool should be assigned to throw rugs? Group of answer choices $49,000. $70,000. $75,384. $140,000.
Business
1 answer:
marshall27 [118]3 years ago
5 0

Answer:

$49,000

Explanation:

The number of inspection performed has a direct proportionality relationship with the allocated over heads. In other words, as the number of inspections performed increases, so does the overhead cost assigned to the production activity.

Total inspection  = 700 + 1300 = 2000

Total overhead = $140,000

The inspecting cost pool to be assigned to throw rugs

= 700/2000 × $140,000

= $49,000

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. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processe
prohojiy [21]

Answer:

(a) Linear model

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

(b) Standard form:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

Explanation:

Given

\begin{array}{ccc}{} & {Hours/} & {Unit} & {Product} & {Line\ 1} & {Line\ 2} & {A} & {12} & {4} & {B} & {4} & {8} & {Total\ Hours} & {60} &{40}\ \end{array}

Solving (a): Formulate a linear programming model

From the question, we understand that:

A has a profit of $9 while B has $7

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y \le 60

4x + 8y \le 40

x,y \ge 0

Where:

x \to line\ 1

y \to line\ 2

Solving (b): The model in standard form:

To do this, we introduce surplus and slack variable "s"

For \le inequalities, we add surplus (add s)

Otherwise, we remove slack (minus s)

So, the standard form is:

So, the linear model is:

max\ P = 9x + 7y

Subject to:

12x + 4y + s_1 = 60

4x + 8y +s_2= 40

x,y \ge 0

s_1,s_2 \ge 0

4 0
2 years ago
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