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. (1) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes. (ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes. (iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold. (v) Graph both functions on the same coordinate axes. (vi) From your graph find coordinatae at which cost equals revenue. (vii) 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?

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter4: Extent (how Much) Decisions
Section: Chapter Questions
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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.
(1) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes.
(ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes.
(iii) Write an algebraic expression representing the cost C as a function of the number of
cupcakes x that are produced.
(iv) Write an algebraic expression representing the revenue R as a function of the number of
cupcakes x sold.
(v) Graph both functions on the same coordinate axes.
(vi) From your graph find coordinatae at which cost equals revenue.
(vii) 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?
Transcribed Image Text: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. (1) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes. (ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes. (iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold. (v) Graph both functions on the same coordinate axes. (vi) From your graph find coordinatae at which cost equals revenue. (vii) 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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