You own a hot-mix asphalt plant and must provide asphalt for two construction sites tomorrow using two different asphalt mixes. The first site is an airport runway project with a much more demanding pavement design, whereas the second site is a residential neighborhood using a fairly typical asphalt mix. The airport project is also more profitable than the residential project. The resource requirements for each mix type are shown below: Binder Polymer Profit
(per ton) (per ton) (S per ton)
Airport Mix 23 9 85
Residential Mix 12 2 30
You need to decide how many tons of each mix type produce Your small batch plant has a of 25 tons of hot-mix asphalt per day. Further, you have only 425 units of binder capacity additive. You are contracted to deliver at least s tons available and 125 units of polymer of airport mix and at least 13 tons of residential mix. You dedde to use a linear program (LP) to In nur derisinn How would you organize your LP?

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be