Question

A burger shop's sells two type of burger, A and B. The selling price of burger A is $\$17,$ and of burger B is $\$13$. Ingredient costs for burger A are $\$450$ per week, and for burger B are $\$310$ per week. Assuming the shop sells an equal number of both burgers in one week, at what point will profits for one burger overtake the other?

• A. After $35$ burgers each, burger B profits will overtake burger A profits
• B. After $145$ burgers each, burger B profits will overtake burger A profits
• C. After $35$ burgers each, burger A profits will overtake burger B profits
• D. After $145$burgers each, burger A profits will overtake burger B profits

Answer 1

The correct option is C After $35$ burgers each, burger A profits will overtake burger B profits

Let the number of burgers sold in a week be $2x$.

Hence, the number '$A$" burgers sold is equal to the number of '$B$' burgers sold which is in turn equal to $x$.

Now the profit for $A$ will be $17x-450$ and the profit for $B$ will be $13x-310$.

Assuming burger $A$'s profit overtakes $B$'s then $17x-450>13x-310$ or $4x>140$ or $x>35$.

Hence, after $35$ burgers each, burger $A$ profits will overtake burger $B$ profits.