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Until recently, the hamburgers at the city sports arena cost $4.60 each. The concessionaire sold an...

Until recently, the hamburgers at the city sports arena cost $4.60 each. The concessionaire sold an average of 6,000 on game night. When the price was raised up to $5.10, the hamburger sales dropped to an average of 4750 per night.

​(a) Assuming a linear demand​ curve, find the price of a hamburger that will maximize the nightly hamburger revenue.

​(b) If the concessionaire had fixed costs of ​$2,500 per night and the variable cost is ​$0.50 per​ hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.

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Hope this is fine. Will appreciate feedback.

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