QUESTION $4$

This is a new problem$*$:

Q$2)$ The UTD cafeteria offers scones for $$1\mathrm{.}5$ each from $8$ am to $3-$pm$.$ The scones are ordered from their supplier at the start of each day and delivered before the store opens. The supplier charges $75$ cents per scone. If at $3$ pm$,$ some scones are left unsold, the cafeteria people sell off the remaining scones for $50$ cents each. Assume that all leftover scones are always sold by $4pm$ when the cafeteria closes. If a customer asks for a scone before $3pm$ but the cafeteria has run out, the customer always buys a bag of chips for $$1$ instead $($after $3$ pm$,$ the customer does not buy anything instead$).$ Assume the chips are always in stock and they are purchased from the same supplier for $40$ cents each. Demand for scones before $3$ pm at the cafeteria is uniformly distributed between $40$ and $50$

a$)$ Yesterday the cafeteria ordered $45$ scones, and $49$ customers came wanting to buy a scone between $8$ am and $3$ pm$.$ What was their profit $($including$,$ if any, the profit on chips sold instead of scones$)?$

$[$Round your answer to the hundredth place. eig. $2321$ should be rounded to $234$ and $23456$ should be rounded to $39+4$

$90$