Of the plans you graphed in Problems 6 and 7 , rank them in order from best to worst in their ab

Of the plans you graphed in Problems 6 and 7 , rank them in...

Key Concepts

Efficient Resource Use

This concept refers to the optimal utilization of scarce resources, where they are allocated in a way that maximizes benefits relative to their costs. In economic terms, this means resources are used until the marginal benefit equals the marginal cost, ensuring that no additional gains can be attained by reallocating them. Efficient resource use is fundamental in evaluating pricing plans since pricing mechanisms should encourage consumers to use resources in line with their true scarcity and opportunity costs.

Marginal Cost Pricing

Marginal cost pricing is a strategy where the price a consumer pays for an additional unit is equal to the extra cost of producing that unit. This pricing method is considered efficient because it leads to a level of consumption where the benefit of the final unit just equals its cost, aligning individual consumption with the broader economic cost. In many cases, this is the theoretical standard for pricing, though real-world applications may include modifications to account for fixed costs or other market imperfections.

Tiered or Block Pricing

Tiered pricing, also known as block pricing, is a non-linear pricing scheme where different blocks or tiers of consumption are charged at different rates. Typically, the price per unit increases after a certain threshold is surpassed, which can serve as a tool to promote conservation by incentivizing lower usage levels for essential purposes while charging higher rates for excessive consumption. This method is commonly seen in utilities such as water, where rates are structured to reflect varying levels of necessity and discourage wasteful usage.

Market Pricing

Market pricing refers to a pricing method where the price is determined by the forces of supply and demand without significant regulation or tiering. In competitive markets, particularly for widely traded commodities, the price is typically uniform and reflects the overall scarcity and production costs. This approach is most closely associated with products like oil, where the global market sets a common price, and individual consumption choices do not typically involve tiered or fixed fees.

Transcript

00:01 So for this problem, we're going to be exploring scatter plots, equations, deriving the equations to graph lines, and then incorporating some graphing utilities to represent those lines of best fit.

00:13 So we have this given data set.

00:16 I've already created the scatter plot for it.

00:19 So notice that on the x -axis, the intervals are 1 and then on the y -axis, the intervals are 2, just to make sure that i'm able to include the largest numbers in the data set.

00:29 And so we have this scatter plot.

00:31 We can definitely see that this is, it's close to linear, but not exactly linear.

00:35 We see that some of the points are kind of also not perfectly in a straight line.

00:39 So what we're going to do is when we do have data that doesn't lay in a perfectly straight line, we can still find a close to linear relationship based off of two data points that we feel like is a good representation of that overall picture.

00:54 And so for that purpose, i'm going to select the two order pairs four, six.

00:59 And 610.

01:01 And what i'm going to do is i am going to try to determine the equation for this set of data using a linear representation based off of these two points.

01:13 And so if i wanted to write an equation for this, i'm going to start off by doing the equation in point slope form, since i can easily find both of those pieces of information.

01:25 So the equation and point slope form is going to be in the format of y minus y1 equals m multiplied by x minus x1.

01:37 And so the slope is rise over run or the change in y over the change in x.

01:42 So for these two points, the change in y is four.

01:45 The change in x is two and then four divided by two equals two.

01:49 So i know the slope is going to be two.

01:50 And then i can use either one of these points to fill in from my x1 y1.

01:55 And so since this just represents the coordinates of one of the points, i'll just use the order here for.

02:00 And six.

02:00 And so from that order of pair, the y value is going to be six, and the x value is going to be four.

02:08 And then if i wanted to convert the same equation into slope intercept form, since later on we're going to be x to represent that in slope intercept form, then i will convert that.

02:24 And i just want to scoge this over a little bit.

02:25 So to convert that into slope intercept form, where's that typing tool at, there we go.

02:33 Okay.

02:33 So i want to get the y by itself to get an insult intercept form.

02:37 So y is going to see on the left side of the equal sign that six, we're going to move it over to the other side.

02:43 So we'll still have that two.

02:45 We'll have the x minus four.

02:47 And then we want to move over the six.

02:49 So it's going to become plus six.

02:50 And then next after that, we still have y by itself, which is what we want.

02:55 And then we're going to distribute the two to everything inside of the parentheses.

02:59 So that's going to give us 2x...

Please give Ace some feedback