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Mathematics, 14.12.2019 21:31 marcgtz511p3pln7
Asmall cafe sells drip coffee for $0.95 per cup. on average, it costs the cafe $0.25 to make a cup of coffee(for grounds, hot water, filters). the cafe also has a fixed daily cost of $200 (for rent, wages, utilities).
a) let r, c, and p be the cafe's daily revenue, costs, and profit, respectively, for selling x cups of coffee in a day. find formulas for r, c, and p as functions of x. [hint: the revenue, r, is the total amount of money that the cafe brings in. the cost, c, includes the fixed daily cost as well as the cost for all x cups of coffee sold. p is the cafe's profit after costs have been accounted for.]
b) plot p against x. for what x-values is the graph of p below the x-axis? above the x-axis?
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