Question: Chapter 10 1) Suppose the following table sumarizes demand from adults and children for visiting an amusement park. Price ($) Q (adults) Q (children) 5
| Chapter 10 | ||||||||||||||||||||||||||
| 1) | Suppose the following table sumarizes demand from adults and children | |||||||||||||||||||||||||
| for visiting an amusement park. | ||||||||||||||||||||||||||
| Price ($) | Q (adults) | Q (children) | ||||||||||||||||||||||||
| 5 | 15 | 20 | To do the problem with Tables we have to calculate MR at each quantity. | To get the table for children, let us include entries for the odd quantities | ||||||||||||||||||||||
| 6 | 14 | 18 | So we must redo the Table in the following way: | and assume the price is half-way between those in the original table. | ||||||||||||||||||||||
| 7 | 13 | 16 | Adults | Children | Both | |||||||||||||||||||||
| 8 | 12 | 14 | Q | P | TR | MR | Q | P | TR | MR | Q | P | TR | MR | ||||||||||||
| 9 | 11 | 12 | 6 | 2 | 8 | |||||||||||||||||||||
| 10 | 10 | 10 | 7 | 3 | 11 | |||||||||||||||||||||
| 11 | 9 | 8 | 8 | 4 | 14 | |||||||||||||||||||||
| 12 | 8 | 6 | 9 | 5 | 17 | |||||||||||||||||||||
| 13 | 7 | 4 | 10 | 6 | 20 | |||||||||||||||||||||
| 14 | 6 | 2 | 11 | 7 | 23 | |||||||||||||||||||||
| 12 | 8 | 26 | ||||||||||||||||||||||||
| Suppose Marginal Cost is fixed at $5 (and therefore average variable cost is also fixed at $5). | 13 | 9 | 29 | |||||||||||||||||||||||
| Assuming fixed cost is zero and the owners wish to maximize profit, answer the following questions. | 14 | 10 | 32 | |||||||||||||||||||||||
| a. | Calculate the profit-maximizing price, quantity and profit if | 15 | 11 | 35 | ||||||||||||||||||||||
| i) The amusement part charges different admissions prices | 12 | |||||||||||||||||||||||||
| ii) It charges the same price to adults and children | 13 | |||||||||||||||||||||||||
| iii) Explain the difference in the profits realized. | 14 | |||||||||||||||||||||||||
| Answer by creating Tables for MR, MC, total Revenue and total cost. | 15 | |||||||||||||||||||||||||
| 16 | ||||||||||||||||||||||||||
| b. | Redo part "a" but his time use math. The equations for quantity demanded are: | |||||||||||||||||||||||||
| Adults | Q = 20 -P | |||||||||||||||||||||||||
| Children | Q = 30 - 2P | |||||||||||||||||||||||||
| Both | Q = 50-3P | |||||||||||||||||||||||||
| 2. | Schultzs Orchard grows two types of fruitmelons and strawberriesand | |||||||||||||||||||||||||
| over the years it has been able to chart two production levels and resulting total costs. | ||||||||||||||||||||||||||
| The following tables compare the two levels, where strawberries are measured in flats and melons are measured in cartons: | ||||||||||||||||||||||||||
| If Total Cost = $15,000 | If Total Cost = $25,000 | |||||||||||||||||||||||||
| Strawberries | Melons | Strawberries | Melons | |||||||||||||||||||||||
| 2700 | 0 | 4200 | 0 | |||||||||||||||||||||||
| 2400 | 600 | 3600 | 900 | |||||||||||||||||||||||
| 1800 | 1200 | 2700 | 1800 | |||||||||||||||||||||||
| 1200 | 1500 | 2100 | 2100 | |||||||||||||||||||||||
| 750 | 1650 | 900 | 2550 | |||||||||||||||||||||||
| 0 | 1800 | 0 | 2700 | |||||||||||||||||||||||
| Obviously, the orchard can produce more if it invests more, but it is not necessarily the case that the increase in output is worth in the increase in total cost. | ||||||||||||||||||||||||||
| This year it is expected that the price of strawberries will be $10 per flat and melons will be $15 per carton. | ||||||||||||||||||||||||||
| a. | What is the best production mix at each cost level? | |||||||||||||||||||||||||
| b. | What will Schultzs profit be at each production level? | |||||||||||||||||||||||||
| c. | Should Schultz invest $15,000 or $25,000? | |||||||||||||||||||||||||
| 3. | Note: in answering this question remember that contribution profit is the same thing as contribution margin, the amount that total revenue exceeds total variable cost | |||||||||||||||||||||||||
| Last year Prestige sold 5,000 desks at a price of $500, so total revenue is $2,500,000. | ||||||||||||||||||||||||||
| Since contribution profit was $700,000, total variable cost was $1,800,000 or $360 per desk | ||||||||||||||||||||||||||
| A consultant suggests lowering the price by $30 and he estimates that another 500 desks would be sold. | ||||||||||||||||||||||||||
| A trade association estimates the price elasticity of demand is -1.8. | ||||||||||||||||||||||||||
| Evaluate the proposal. To do so, first calculate the elasticity of demand assumed by the consultant and think about what the | ||||||||||||||||||||||||||
| calculated elasticity implies about the relationship between price and total revenue. | ||||||||||||||||||||||||||
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