(Please read carefully! In this question you need to type the words at least, exactly, or at most.

Type only the word: no quotation marks, etc.

Make sure that you leave a space after at. Type at least, and not atleast.

Questions are graded automatically. If you do not follow the formatting, then your answer will be graded wrong. If your answer is correct, I will be able to manually change your grade for those questions later, but you will lose half of the points. No exceptions, in order to be fair to everyone in the class.)

In order to produce windows, our plant is using three materials, Iron, Wood, and Glass together.

The current objective (maximizing profit) is 2000. The R.H.S. of each constraint is the capacity of the corresponding raw material. The following sensitivity report is given:

Cell	Name	Current Value	Shadow Price	R.H. Side	Allowable Increase	Allowable Decrease
$B$10	Iron	100	0	120	1.00E+30	20
$C$10	Wood	30	20	30	5	15
$D$10	Glass	70	10	70	20	10

Feel in the blanks with the most accurate statement.

If we increase the capacity of Glass from 70 to 100, the optimal objective will be at least and at most .

If we increase the capacity of Iron from 120 to 130, the optimal objective will be (exactly/at least/at most) (the number).

If we decrease the capacity of Wood t from 30 to 10, the optimal objective will be (exactly/at least/at most) (the number).

If we decrease the the capacity of Wood from 30 to 25 and the capacity of Glass from 70 to 65, the optimal objective will be (exactly/at least/at most) (the number).