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At a certain amusement park, there is a bulk discount for tickets. If you buy up to 60 tickets in one order, the price for each ticket is $\$70$. However if you buy more than 60 tickets in a single order, the price of every ticket is reduced by $\$1$ for each additional ticket bought. If $t$ is the number of tickets bought in bulk at one time, what is the largest $t$ which will bring the amusement park a profit greater than $\$4200$?

Respuesta :

The largest price which will bring the amusement park a profit greater than $4200 will be $65.

How to calculate the price?

Let x be the number of additional tickets that can be sold.

It should be noted that the revenue is gotten by multiplying the number of tickets by the price.

Therefore, (60 + x)(70 - x) > 4225

The appropriate value that fits in will be 5.

Therefore, (60 + x)(70 - x) > 4225 will be:

= (60 + 5) × (70 - 5)

= 65 × 65

= 4225

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