You are looking at the top of a building and thinking it would be great to make a zipline from the top to your current location.
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We know that the equation of a line is given by
To find it we need the slope m and a point that the line passes thorugh. In this case we have the point (8,10) but we don't know the slope. What we know is that the line we are looking for is parallel to the line
We also know that for two lines to be parallel they have the same slope. Then, if we fin the slope of the line y=2x-5, we have the slope of the line we are looking for. To find the slope of the line y=2x-5 we note that it is written in the slope-intercept form
From this we know that the slope is multiplying the x variable when it is written in that form. Hence m=2.
Then the line we are looking for has an slope of 2 and passes through the point (8,10). Pluggin the values in the equation of a line we have.
Writting it in the slope intercept form we have
Then the line parallel to y=2x-5 and passes through the point (8,10) is
This is a linear programming question
if u want to solve the question, u can plot a graph(see the picture)
while x is n, y is r
and u may find out all of the integral values of x ,y in the required region, and sub them to 6450x+7150y=c, where c is the overall customers number, see which point give u the largest number of customers, u may get the ans then
if u want to solve the question, u can plot a graph(see the picture)
while x is n, y is r
and u may find out all of the integral values of x ,y in the required region, and sub them to 6450x+7150y=c, where c is the overall customers number, see which point give u the largest number of customers, u may get the ans then