For a particular flight from dulles to sf, an airline uses wide-body jets with a capacity of 460 passengers. it costs the airline $4,000 plus $60 per passenger to operate each flight. through experience the airline has discovered that if a ticket price is $t, then they can expect (460−1.t) passengers to book the flight. determine the ticket price, t, that will maximize the airline's profit.

$ 260

Step-by-step explanation:

Given

Initially 460 passenger travels

It cost $ 4000 +$60 per passenger

If ticket Price is $ T

then they expect 460-T passengers

Total Revenue generated by tickets

cost to airlines

Profit is

To get maximum Profit differentiate P w.r.t to T and Equate it to zero

Therefore it cost $ 260 to get maximum Profit

yes yes yes yes yes yes yes yes yes

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.