A company makes two types of electronic devices: laptops and tablets. Its businessplan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. A) Given that x is the number of laptops made per day, and y is the
number of tablets made, what are the daily constraints that the plan places on the company?

B) The company sells all the electronic devices it makes. Its profit is $65 for every laptop
sold and $45 for every tablet sold. What is the objective function for maximizing profit?

C) Insert an image of a graph showing the feasible region

D) What are the vertices of the feasible region?

E) . Evaluate the objective function at the vertices of the feasible region

F) How many laptops and how many tablets should the company make to maximize profit?

G) What is the maximum profit?

step-by-step explanation:

it's 15

it would be 6xy and -16xy.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .