- #1
hancyu
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Homework Statement
1. A small resort in Payatas expects 30 guests if they charge P1000 per room. However, they notice that for every P50 increase in this rate, the number of expected guests decreases by one. If the company shoulders P100 as operational cost for every room that they lease,
(a) how much revenue would the resort get if they accommodate 28 guests?
(b) how much profit would the resort gain if they charge P1400 per room?
(c) what is the ideal number of guests? (i.e. that maximizes the profit)
(d) how much should the resort charge the use of its rooms to meet the ideal number of
guests?
2. The equation
x^2 /16 + y^2 /9 = 1
is an ellipse with center at the origin and
whose graph appears on the right. Find the
area of the square that can be inscribed (or
fitted) in this ellipse.
3. Suppose the function f(x) has 16 distinct zeros whose sum is 23, find the sum of the zeros of
the function f(3x − 4).
Homework Equations
i don't know how to get the quadratic eqn for 1.2. x^2 /16 + y^2 /9 = 1
x = y therefore x^2 /16 + x^2 /9 = 1
x = 12/5 and -12/5
what does that mean?
3. sorry i have no clue how to answer this