Mariel runs an ice cream shop. Her short-run cost is given by 300 + 3000 + 3g where q s the number of ice cream cones she sells per day. (a) Find mathematical expressions for Mariel's marginal cost, average variable cost, and average total cost. (b) Sketch' Mariel's marginal cost, average variable cost, and average total cost. (c) Suppose the market price for ice cream cones is $3. How many ice cream cones will Mariel supply? What will her profits be? Identify your answers on the diagram and then compute the values mathematically. (d) Find the minimum market price such that Mariel will stay in business in the short-run, both on your diagram and mathematically. (e) Assume that Mariel can only run an ice cream shop of this size and in the long run must decide whether to operate or not. (In other words, assume that Mariel's LRAC curve is her short-run average total cost curve.) Identify the minimum market price such that Mariel will stay in business in the long-run on your diagram. How could you find this

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. Mariel runs an ice cream shop. Her short-run cost is given by 300 +
is the number of ice cream cones she sells per day.
+ 3q where q
3000
(a) Find mathematical expressions for Mariel's marginal cost, average variable cost, and
average total cost.
(b) Sketch' Mariel's marginal cost, average variable cost, and average total cost.
(c) Suppose the market price for ice cream cones is $3. How many ice cream cones will
Mariel supply? What will her profits be? Identify your answers on the diagram and
then compute the values mathematically.
(d) Find the minimum market price such that Mariel will stay in business in the short-run,
both on your diagram and mathematically.
(e) Assume that Mariel can only run an ice cream shop of this size and in the long run must
decide whether to operate or not. (In other words, assume that Mariel's LRAC curve is
her short-run average total cost curve.) Identify the minimum market price such that
Mariel will stay in business in the long-run on your diagram. How could you find this
mathematically? (You do NOT need to actually compute the value).
Transcribed Image Text:1. Mariel runs an ice cream shop. Her short-run cost is given by 300 + is the number of ice cream cones she sells per day. + 3q where q 3000 (a) Find mathematical expressions for Mariel's marginal cost, average variable cost, and average total cost. (b) Sketch' Mariel's marginal cost, average variable cost, and average total cost. (c) Suppose the market price for ice cream cones is $3. How many ice cream cones will Mariel supply? What will her profits be? Identify your answers on the diagram and then compute the values mathematically. (d) Find the minimum market price such that Mariel will stay in business in the short-run, both on your diagram and mathematically. (e) Assume that Mariel can only run an ice cream shop of this size and in the long run must decide whether to operate or not. (In other words, assume that Mariel's LRAC curve is her short-run average total cost curve.) Identify the minimum market price such that Mariel will stay in business in the long-run on your diagram. How could you find this mathematically? (You do NOT need to actually compute the value).
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