**Tab 1: Plant Operational Log (Month of May)** - **Line 1**: Operates at a rate of 250\te… — GMAT

Tab 1: Plant Operational Log (Month of May)
- Line 1: Operates at a rate of $250\text{ units per hour}$ with a power consumption of $300\text{ kWh per hour}$ . Total operating time in May: $400\text{ hours}$ .
- Line 2: Operates at a rate of $250\text{ units per hour}$ with a power consumption of $600\text{ kWh per hour}$ . Total operating time in May: $200\text{ hours}$ .

Tab 2: Utility Tariff & Clean Energy Incentive Policy
- Standard Power Rate: $\$0.15\text{ per kWh}$ for all electricity consumed.
- Energy Intensity Metric: Defined as $\text{Facility Energy Intensity} = \frac{\text{Total Electricity Consumed (kWh)}}{\text{Total Valid Units Produced}}$ .
- Incentive Rebate: If the monthly Facility Energy Intensity is less than or equal to $1.80\text{ kWh per unit}$ , the facility receives a $15\%$ rebate discount applied to the total monthly electricity bill. Otherwise, standard power rates apply to the entire consumption with no discount.

Tab 3: Quality Assurance Audit Report
- Line 1 Audit: Quality control verified that $10\%$ of all units produced on Line 1 during May failed quality standards and were scrapped (not counted as valid units).
- Line 2 Audit: Quality control verified that $50\%$ of all units produced on Line 2 during May failed quality standards and were scrapped (not counted as valid units).
- Energy Data Verification: Recorded power consumption rates and operating hours from Tab 1 were confirmed to be $100\%$ accurate.

Based on the information provided across the three tabs, what is the total net electricity cost for the facility for the month of May?

A
$ $30,600$
B
$ $33,300$
$ $36,000$ Cevap
D
$ $17,250$
E
$ $40,500$

Cevap

The total net electricity cost for the facility for May is $36,000 because the reconciled facility energy intensity of approximately 2.09 kWh per unit exceeds the 1.80 kWh per unit threshold required for the 15% rebate.

The correct answer is

36,000. Reconciling Tab 1 and Tab 3 shows total electricity consumption of 240,000 kWh (120,000 kWh from Line 1 + 120,000 kWh from Line 2) and net valid production of 115,000 units (90,000 valid units from Line 1 + 25,000 valid units from Line 2). Dividing 240,000 kWh by 115,000 units yields a facility energy intensity of approximately 2.09 kWh per unit. Because 2.09 exceeds the 1.80 kWh per unit threshold defined in Tab 2, the facility fails to qualify for the 15% rebate discount and pays the standard tariff rate of

0.15 per kWh across all 240,000 kWh, totaling $36,000.

Adım Adım Çözüm

Calculate total electricity consumed across both production lines using Tab 1 data.

Line 1 energy =

400\text{ hours} \times 300\text{ kWh/hour} = 120,000\text{ kWh}

. Line 2 energy =

200\text{ hours} \times 600\text{ kWh/hour} = 120,000\text{ kWh}

. Total electricity consumed =

240,000\text{ kWh}

Establishing the total power consumption is necessary to determine both energy intensity and base bill calculation.

Calculate gross production from Tab 1 and adjust for scrapped units using Tab 3 audit data to find total valid units.

Line 1 gross units =

400 \times 250 = 100,000

; valid units =

100,000 \times (1 - 0.10) = 90,000

. Line 2 gross units =

200 \times 250 = 50,000

; valid units =

50,000 \times (1 - 0.50) = 25,000

. Total valid units =

90,000 + 25,000 = 115,000\text{ units}

Tab 2 defines the energy intensity denominator specifically as valid units produced, requiring reconciliation with Tab 3 scrap rates.

Compute the reconciled Facility Energy Intensity and check against the Tab 2 rebate policy threshold.

Reconciled Intensity =

\frac{240,000\text{ kWh}}{115,000\text{ units}} \approx 2.087\text{ kWh/unit}

. Since

2.087 > 1.80

, the facility does not qualify for the 15% rebate.

Determining whether the facility meets the policy threshold determines whether a discount applies.

Calculate the total net electricity cost at the standard rate without discount.

Total Cost =

240,000\text{ kWh} \times \$0.15/\text{kWh} = \$36,000

Standard tariff applies to total energy consumption when incentive criteria are not met.

Anahtar Kavram

Cross-tab quantitative reconciliation requiring integration of operational logs, policy thresholds, and audit adjustments.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru