Total and Marginal Utility Calculation
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QUESTION 3 (WASSCE NOV 2008 QU 2) The table below indicates the schedule of total utility for bottles of Coca-Cola consumed by Mr. K. Study the table carefully and answer the questions that follow. | Bottles of Coca-Cola | Total utility | | :--- | :--- | | 1 | 16 | | 2 | 26 | | 3 | 33 | | 4 | 38 | | 5 | 40 | | 6 | 41 | (a). Calculate the average utility and marginal utility for each level of consumption. (b) Draw the total utility and the marginal utility curves. (Use of graph sheet is essential) (c) State the law of diminishing marginal utility.
This question includes visual content: A table with two columns: 'Bottles of Coca-Cola' (from 1 to 6) and 'Total utility' (values: 16, 26, 33, 38, 40, 41). The table is essential for performing calculations.
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Hi beliyin, let's solve this economics problem together. We're given a schedule for total utility and need to find the average and marginal utilities, plot the curves, and state a fundamental economic law.
Consumer Utility Analysis
First, for part a, let's define our formulas. Average Utility is Total Utility divided by the number of units consumed. Marginal Utility is the change in Total Utility from consuming one additional unit.
Now, let's construct a complete table to calculate these values for each level of consumption. We start with the given data for quantity and total utility.
(a) Utility Schedule
| Quantity (Q) | Total Utility (TU) | Average Utility (AU) | Marginal Utility (MU) |
|---|---|---|---|
| 1 | 16 | -- | -- |
| 2 | 26 | -- | -- |
| 3 | 33 | -- | -- |
| 4 | 38 | -- | -- |
| 5 | 40 | -- | -- |
| 6 | 41 | -- | -- |
For one bottle, total utility is sixteen. So average utility is sixteen divided by one, which is sixteen. Marginal utility is also sixteen as it's the first unit.
For the second bottle, Average Utility is twenty-six divided by two, giving thirteen. Marginal Utility is twenty-six minus sixteen, which equals ten.
For the third bottle, thirty-three divided by three gives an average utility of eleven. The marginal utility is thirty-three minus twenty-six, which is seven.
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