This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.
ScanSolve AI Answer
Here's how to solve the problem: 2.1.2 (a) Show that the meter reading after purchase is CORRECT, rounded to the nearest whole number. Step 1: Calculate the cost of units in the first tariff block. The initial meter reading is 5.3 kWh. The first tariff block is 0-100 kWh at R2.775755/kWh. The remaining units in the first block that can be purchased are: 100 kWh - 5.3 kWh = 94.7 kWh The cost for these 94.7 kWh is: 94.7 kWh × R2.775755/kWh = R262.7700985 Step 2: Calculate the remaining money and units purchased in the second tariff block. Lebogang purchased R398.00 worth of electricity. The money remaining after the first block purchase is: R398.00 - R262.7700985 = R135.2299015 The tariff for the second block (101-400 kWh) is R3.248405/kWh. The units purchased with the remaining money are: R135.2299015R3.248405/kWh = 41.6300000 kWh Step 3: Calculate the total kWh purchased. Total kWh purchased = Units from first block + Units from second block 94.7 kWh + 41.63 kWh = 136.33 kWh Step 4: Calculate the meter reading after the purchase. The new meter reading is the initial reading plus the total kWh purchased: 5.3 kWh + 136.33 kWh = 141.63 kWh Step 5: Round the calculated meter reading and compare it to the given reading. The calculated meter reading is 141.63 kWh. Rounded to the nearest whole number, this is 142 kWh. The meter reading after purchase shown in Table 3 is 142.4 kWh. Rounded to the nearest whole number, this is also 142 kWh. Since both values round to the same whole number, the meter reading after purchase is indeed correct. That's 2 down. 3 left today — send the next one.