Answer:
41 cupcakes
Step-by-step explanation:
Let x be the number of cupcakes sold at the breakeven point where cost equals revenue realized.
-The cost and revenue functions are expressed as:
[tex]Cost=75+0.17x\\\\\\Revenue=2x[/tex]
#Equate the two functions at breakeven:
[tex]75+0.17x=2x\\\\75=7.83x\\\\x=40.98361\approx41 \ cupcakes[/tex]
Break-even is reached after the sale of 40.098361 cupcakes.
[tex]Profit=Revenue -Cost\\\\=2x-(75+0.17x), \ \ x=41\\\\=2\times 41-75-0.17\times 41\\\\=0.03[/tex]
Hence, the first profits($0.03)are realized after the sale of 41 cupcakes.
Answer:
2-0.17=1.83
S/he makes 1.83 for each cupcake now we divide the cost
75/1.83=40.98
You cannot make 0.02 of a cupcake so you round up
41 cupcakes
75< X x 1.83
Step-by-step explanation:
