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For the R&D of our institution we need the following three components that must work together in order to maximize the output: Investments, Researchers, and Material.

The current objective is 1000. The following sensitivity report is given:

		Final	Shadow	Constraint	Allowable	Allowable
Cell	Name	Value	Price	R.H. Side	Increase	Decrease
$B$10	R&D Investment	60	10	60	30	40
$C$10	Researchers	25	5	25	10	20
$D$10	Material	50	0	58	1E+30	10

Fill in the blanks with the most accurate statement.

Are these constraints binding? Put B for binding and N for non-binding. (For the definition of bindingon-binding refer to the lecture or the slides.)

_____ Researchers

_____ Material

If we increase the number of researchers from 25 to 45, the optimal objective will be at least ______ and at most _____.

If we increase the R&D investment from 60 to 75, the optimal objective will be (exactly/at least/at most) _______ (the number) _______.

If we decrease the R&D investment from 60 to 45, the optimal objective will be (exactly/at least/at most) _______ (the number) _______.

If we increase the material from 58 to 64, the optimal objective will be (exactly/at least/at most) _______ (the number) _______.

If we decrease the material from 58 to 45, the optimal objective will be (exactly/at least/at most) _______ (the number) _______.

(FORMATTING: Please read carefully! In addition to the points made in Question 1 about how to enter numbers, 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 25% of the points. NO EXCEPTIONS, in order to be fair to everyone in the class.) For the R\&D of our institution we need the following three components that must work together in order to maximize the output: Investments, Researchers, and Material. The current objective is 1000. The following sensitivity report is given: Feel in the blanks with the most accurate statement. Are these constraints binding? Put B for binding and N for non-binding. (For the definition of bindingon-binding refer to the lecture or the slides.) Researchers Material If we increase the number of researchers from 25 to 45 , the optimal objective will be at least and at most If we increase the R\&D investment from 60 to 75, the optimal objective will be (exactly/at least/at most) (the number) If we decrease the R\&D investment from 60 to 45 , the optimal objective will be (exactly/at least/at most) (the number) If we increase the material from 58 to 64 , the optimal objective will be (exactly/at least/at most) (the number) If we decrease the material from 58 to 45 , the optimal objective will be (exactly/at least/at most) (the number)