A television set manufacturing firm has to decide on the mix of color and black-and-white TVs to be produced. A market research indicates that, at most, 2000 units and 4000 units of color and black-and-white TVs can be sold per month. The maximum number of man-hours available is 60,000 per month. A color TV requires 20 man-hours and a black-and-white TV requires 15 man-hours to manufacture. The unit profits of the color and black-and-white TVs are $60 and $30, respectively. It is desired to find the number of units of each TV type that the firm must produce in order to maximize its profit. Formulate the problem as a linear program.

Objective Function,  

Subject to the Constraints

Step-by-step explanation:

Let the number of black t.v. produced =b

Let the number of colored t.v. produced =c

at most, 2000 units of color t.v. can be sold i.e.

at most 4000 units of black-and-white TVs can be sold i.e.

Total man hours per product = Number of Units X Man Hour Per Unit

A color TV requires 20 man-hours  = 20c

A black-and-white TV requires 15 man-hours =15b

Since Maximum number of man Hours is 60000 hours

The unit profits of the color TV is $60, therefore total profit =60c

The unit profits of the black-and-white TVs $30, respectively, therefore total profit =30b

Since we are to maximize profit, the Objective Function,

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.