Q1 It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake.A cupcake is sold for $4.90 each. The cost of producing 20,40,60,80 and 100 cupcakes. Cost of producing cupcakes Quantity TVC ($) TFC($) TC (TFC+TVC) 20 42 (2.1 * 20) 420 462 40 84 420 504 60 126 420 546 80 168 420 588 100 210 420 630 Revenue from Selling Quantity Price TR 20 4.9 98 40 4.9 196 60 4.9 294 80 4.9 392 100 4.9 490 (i) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold. (ii) Graph both functions on the same coordinate axes. (iii) From your graph find coordinatae at which cost equals revenue. (vi) Using your graph,determine how many cupcakes need to be made to produce revenue of at least $1,029.How much profit is made for this number of cupcakes?
Q1 It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake.A cupcake is sold for $4.90 each. The cost of producing 20,40,60,80 and 100 cupcakes. Cost of producing cupcakes Quantity TVC ($) TFC($) TC (TFC+TVC) 20 42 (2.1 * 20) 420 462 40 84 420 504 60 126 420 546 80 168 420 588 100 210 420 630 Revenue from Selling Quantity Price TR 20 4.9 98 40 4.9 196 60 4.9 294 80 4.9 392 100 4.9 490 (i) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold. (ii) Graph both functions on the same coordinate axes. (iii) From your graph find coordinatae at which cost equals revenue. (vi) Using your graph,determine how many cupcakes need to be made to produce revenue of at least $1,029.How much profit is made for this number of cupcakes?
Chapter6: Proudction Costs
Section: Chapter Questions
Problem 8SQP
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Q1
It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake.A cupcake is sold for $4.90 each. The cost of producing 20,40,60,80 and 100 cupcakes.
Cost of producing cupcakes
| Quantity | TVC ($) | TFC($) | TC (TFC+TVC) |
| 20 | 42 (2.1 * 20) | 420 | 462 |
| 40 | 84 | 420 | 504 |
| 60 | 126 | 420 | 546 |
| 80 | 168 | 420 | 588 |
| 100 | 210 | 420 | 630 |
Revenue from Selling
| Quantity | Price | TR |
| 20 | 4.9 | 98 |
| 40 | 4.9 | 196 |
| 60 | 4.9 | 294 |
| 80 | 4.9 | 392 |
| 100 | 4.9 | 490 |
(i) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold.
(ii) Graph both functions on the same coordinate axes.
(iii) From your graph find coordinatae at which cost equals revenue.
(vi) Using your graph,determine how many cupcakes need to be made to produce revenue of at least $1,029.How much profit is made for this number of cupcakes?
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