a. Write a rule for the amount she would receive (revenue), R dollars, from selling s stockings and sketch its graph on the same axes. b. What are the coordinates of the point where the graphs intersect? c. Profit is defined as revenue – cost: Give a rule for the profit, P dollars, from selling s stockings. Using the equation, find how many stockings must be sold to break even.
Based on honor code, please answer 3 subparts.
Bianca runs an online business making and selling Christmas stockings. Over time she has worked out that the cost to make and deliver 3 Christmas stockings is $125, while the cost to make and deliver 7 stockings is $185. The cost to produce each Christmas stocking is the same. Costs involved also include the purchase of the tools to make the stockings.
Bianca is interested in exploring the relationship between her profit, costs and selling price. She wants to determine the ‘break-even’ point and look at how this is impacted if the selling price is adjusted.
Bianca sells each stocking for $25.
a. Write a rule for the amount she would receive (revenue), R dollars, from selling s stockings and sketch its graph on the same axes.
b. What are the coordinates of the point where the graphs intersect?
c. Profit is defined as revenue – cost: Give a rule for the profit, P dollars, from selling s stockings. Using the equation, find how many stockings must be sold to break even.
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