Until recently, hamburgers at the city sports arena cost $2.60 each. The food concessionaire sold an average of 14000 hamburgers on game night. When the price was raised to $3.00, hamburger sales dropped off to an average of 10000 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 $2500 per night and the variable cost is $0.70 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.

Two consecutive negative integers have a product of 30. what are the integers?

Consider the linear model for a two-stage nested design with b nested in a as given below. yijk=\small \mu + \small \taui + \small \betaj(i) + \small \varepsilon(ij)k , for i=1,; j= ; k=1, assumption: \small \varepsilon(ij)k ~ iid n (0, \small \sigma2) ; \small \taui ~ iid n(0, \small \sigmat2 ); \tiny \sum_{j=1}^{b} \small \betaj(i) =0; \small \varepsilon(ij)k and \small \taui are independent. using only the given information, derive the least square estimator of \small \betaj(i) using the appropriate constraints (sum to zero constraints) and derive e(msb(a) ).

Find two numbers if their ratio is 4: 7 and their difference is 123.