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For the tariff on LEVEL 4 if a household used an amount of water that is above 20 kℓ up to 35 kℓ (Step 4).

Economics

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  1. Answer Question 1.1.

    The question asks for the tariff on LEVEL 4 if a household used an amount of water that is above 20 kℓ up to 35 kℓ (Step 4).
    Looking at the table:

    • Go to the "STEP" column and find "4".
    • The "VOLUME/AMOUNT OF WATER USED" for Step 4 is "above 20 kℓ up to 35 kℓ".
    • Go to the "LEVEL 4 R/kℓ" column for Step 4. The tariff is R43,69.

    The tariff on Level 4 for Step 4 is R43.69/kℓ\boxed{\text{R}43.69/\text{k}\ell}.

  2. Answer Question 1.2.

    The question asks in which STEP/INTERVAL you will pay R52,44 on Level 6.
    Looking at the table:

    • Go to the "LEVEL 6 R/kℓ" column.
    • Find the value R52,44.
    • This value corresponds to "STEP 2".

    You will pay R52,44 on Level 6 in STEP 2\boxed{\text{STEP 2}}.

  3. Answer Question 1.3.

    The question asks to calculate the VAT exclusive tariff of STEP 1 of Level 6.

    • From the table, the tariff for STEP 1 of Level 6 is R29,93/kℓ.
    • The table states that the rates are "INCLUDING VAT - 15%".
    • To find the VAT exclusive tariff, divide the VAT inclusive tariff by (1+VAT rate)(1 + \text{VAT rate}). VAT exclusive tariff=R29.931+0.15=R29.931.15=R26.02608...\text{VAT exclusive tariff} = \frac{\text{R}29.93}{1 + 0.15} = \frac{\text{R}29.93}{1.15} = \text{R}26.02608... Rounding to two decimal places: R26.03.

    The VAT exclusive tariff of STEP 1 of Level 6 is R26.03/kℓ\boxed{\text{R}26.03/\text{k}\ell}.

  4. Answer Question 1.4.

    The question asks to calculate the amount a household will have to pay on Level 4 for consuming 15 kℓ.
    We need to calculate the cost for each step up to 15 kℓ on Level 4.

    • Step 1: 0 kℓ to 6 kℓ. Volume used: 6 kℓ. Tariff: R4,65/kℓ. Cost for Step 1 = 6 kℓ×R4.65/kℓ=R27.906 \text{ k}\ell \times \text{R}4.65/\text{k}\ell = \text{R}27.90
    • Step 2: above 6 kℓ to 10 kℓ. Volume used: 10−6=410 - 6 = 4 kℓ. Tariff: R17,75/kℓ. Cost for Step 2 = 4 kℓ×R17.75/kℓ=R71.004 \text{ k}\ell \times \text{R}17.75/\text{k}\ell = \text{R}71.00
    • Step 3: above 10 kℓ up to 20 kℓ. Remaining volume needed: 15−10=515 - 10 = 5 kℓ. Tariff: R25,97/kℓ. Cost for Step 3 = 5 kℓ×R25.97/kℓ=R129.855 \text{ k}\ell \times \text{R}25.97/\text{k}\ell = \text{R}129.85

    Total cost for 15 kℓ on Level 4 = Cost Step 1 + Cost Step 2 + Cost Step 3
    Total cost = R27.90+R71.00+R129.85=R228.75\text{R}27.90 + \text{R}71.00 + \text{R}129.85 = \text{R}228.75

    The household will have to pay R228.75\boxed{\text{R}228.75} on Level 4 for consuming 15 kℓ.

  5. Answer Question 1.5.

    The question asks to calculate the amount a household will have to pay on Level 6 for consuming 23 kℓ.
    We need to calculate the cost for each step up to 23 kℓ on Level 6.

    • Step 1: 0 kℓ to 6 kℓ. Volume used: 6 kℓ. Tariff: R29,93/kℓ. Cost for Step 1 = 6 kℓ×R29.93/kℓ=R179.586 \text{ k}\ell \times \text{R}29.93/\text{k}\ell = \text{R}179.58
    • Step 2: above 6 kℓ to 10 kℓ. Volume used: 10−6=410 - 6 = 4 kℓ. Tariff: R52,44/kℓ. Cost for Step 2 = 4 kℓ×R52.44/kℓ=R209.764 \text{ k}\ell \times \text{R}52.44/\text{k}\ell = \text{R}209.76
    • Step 3: above 10 kℓ up to 20 kℓ. Volume used: 20−10=1020 - 10 = 10 kℓ. Tariff: R114,00/kℓ. Cost for Step 3 = 10 kℓ×R114.00/kℓ=R1140.0010 \text{ k}\ell \times \text{R}114.00/\text{k}\ell = \text{R}1140.00
    • Step 4: above 20 kℓ up to 35 kℓ. Remaining volume needed: 23−20=323 - 20 = 3 kℓ. Tariff: R134,00/kℓ. Cost for Step 4 = 3 kℓ×R134.00/kℓ=R402.003 \text{ k}\ell \times \text{R}134.00/\text{k}\ell = \text{R}402.00

    Total cost for 23 kℓ on Level 6 = Cost Step 1 + Cost Step 2 + Cost Step 3 + Cost Step 4
    Total cost = R179.58+R209.76+R1140.00+R402.00=R1931.34\text{R}179.58 + \text{R}209.76 + \text{R}1140.00 + \text{R}402.00 = \text{R}1931.34

    The household will have to pay R1931.34\boxed{\text{R}1931.34} on Level 6 for consuming 23 kℓ.

  6. Answer Question 1.6.

    The question asks to calculate how much more a household will pay on Level 6 compared to Level 4 for consuming 37 kℓ.
    First, calculate the cost for 37 kℓ on Level 4 and Level 6.

    • Cost for 37 kℓ on Level 4:

      • Step 1 (0-6 kℓ): 6 kℓ×R4.65/kℓ=R27.906 \text{ k}\ell \times \text{R}4.65/\text{k}\ell = \text{R}27.90
      • Step 2 (6-10 kℓ): 4 kℓ×R17.75/kℓ=R71.004 \text{ k}\ell \times \text{R}17.75/\text{k}\ell = \text{R}71.00
      • Step 3 (10-20 kℓ): 10 kℓ×R25.97/kℓ=R259.7010 \text{ k}\ell \times \text{R}25.97/\text{k}\ell = \text{R}259.70
      • Step 4 (20-35 kℓ): 15 kℓ×R43.69/kℓ=R655.3515 \text{ k}\ell \times \text{R}43.69/\text{k}\ell = \text{R}655.35
      • Step 5 (35-50 kℓ): Remaining volume: 37−35=237 - 35 = 2 kℓ. Tariff: R113,99/kℓ. Cost for Step 5 = 2 kℓ×R113.99/kℓ=R227.982 \text{ k}\ell \times \text{R}113.99/\text{k}\ell = \text{R}227.98 Total cost Level 4 = R27.90+R71.00+R259.70+R655.35+R227.98=R1241.93\text{R}27.90 + \text{R}71.00 + \text{R}259.70 + \text{R}655.35 + \text{R}227.98 = \text{R}1241.93
    • Cost for 37 kℓ on Level 6:

      • Step 1 (0-6 kℓ): 6 kℓ×R29.93/kℓ=R179.586 \text{ k}\ell \times \text{R}29.93/\text{k}\ell = \text{R}179.58
      • Step 2 (6-10 kℓ): 4 kℓ×R52.44/kℓ=R209.764 \text{ k}\ell \times \text{R}52.44/\text{k}\ell = \text{R}209.76
      • Step 3 (10-20 kℓ): 10 kℓ×R114.00/kℓ=R1140.0010 \text{ k}\ell \times \text{R}114.00/\text{k}\ell = \text{R}1140.00
      • Step 4 (20-35 kℓ): 15 kℓ×R134.00/kℓ=R2010.0015 \text{ k}\ell \times \text{R}134.00/\text{k}\ell = \text{R}2010.00
      • Step 5 (35-50 kℓ): Remaining volume: 37−35=237 - 35 = 2 kℓ. Tariff: R912,00/kℓ. Cost for Step 5 = 2 kℓ×R912.00/kℓ=R1824.002 \text{ k}\ell \times \text{R}912.00/\text{k}\ell = \text{R}1824.00 Total cost Level 6 = R179.58+R209.76+R1140.00+R2010.00+R1824.00=R5363.34\text{R}179.58 + \text{R}209.76 + \text{R}1140.00 + \text{R}2010.00 + \text{R}1824.00 = \text{R}5363.34
    • Difference in cost: Difference = Total cost Level 6 - Total cost Level 4 Difference = R5363.34−R1241.93=R4121.41\text{R}5363.34 - \text{R}1241.93 = \text{R}4121.41

    A household will pay R4121.41\boxed{\text{R}4121.41} more on Level 6 compared to Level 4 for consuming 37 kℓ.

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