# CPAN112 – Fundamentals of Numeric Computing – MidTerm

## CPAN 112

### MidTerm TEST

• Please provide your answers in the boxes below each question, and do not change the text colour.
• Your answer MUST show the solution procedure. There is no credit if you only state the final answer.
• Please keep the naming conventions requested in this lab and each question.
• Once you complete your lab, rename your word document file to the (CPAN112_MidtermTest_FirstName_LastName). Replace FirstName and LastName with your first name and last name, respectively.

It will be a 10% mark deduction if you do not follow the guidelines mentioned above.

Please show you work using formula’s applied, concept learned and explanation, do not just write the final answer. Feel free to use Python as tool and attach the screenshots.

Question 1:

• An intravenous line has been inserted in a patient. The total volume to be given is 1400mLs over 5 hours at a drop factor of 20drops/mL. How many drops per minute will the patient receive?
•  Total Volume = 1400mLs Each mL has 20 drops So, to get Total Drops = 28000 Drops (1400×20) 28000drops will be given in 5 hours For each hour = 5600drops (28000/5) For each minutes = 93.33 (5600/60)
 93 Drops/minutes

Question 2:

• Using the exchange rate below
• 1 Euro = 0.99  USD
• 1 Australian Dollar (ASD)  =  0.69 USD
• 1 Britain Pund (GBP) = 1.19 USD
• How many ASD are needed to have 710 Euros
•  1 Euro = 0.99 USD           710 Euro = 702.9 USD (710×0.99)           1 ASD = 0.69 USD           1/0.69ASD = 1 USD           for 702.9 USD =           702.9/0.69 = TOTAL ASD           1018.69 ASD
• How many Euro are needed to have 195 GBP
•  1 GBP = 1.19 USD 195 GBP = 232.05 USD (195×1.19) 0.99 USD = 1 EURO 1 USD = 1 / 0.99 EURO 232.05 USD = 232.05 / 0.99 EURO Therefore, 234.39 EURO
 a = 1018.69ASD b = 234.39EURO

• The difference between the two numbers is 55. The ratio of the two numbers is 7:3. What are the two numbers?
•  Let’s say, a – b = 55 a/b = 7/3 3a = 7b or we can say, a = 7b/3 Now putting this value in first equation, 7b/3 – b = 55 Solving, 7b/3-3 by using denominator method, we get 7b-3b/3 3 will go to 55 and will be multiplied with it so, 7b-3b = 165 4b = 165 b = 41.25Putting this value of b in the equation a = 55 + b a = 55 + 41.25 a = 96.25
 Number 1 = 96.25 and Number 2 = 41.25

• Use below information to Answer:
• Selling Price / Unit \$16
• Fixed Expense 125,000
• Variable Expense \$5
• What is the company’s contribution margin?
• Contribution margin = unit cost – unit variable
• Contribution margin = 16 – 5
• Contribution margin = 11
• What is the break-even point in units? If the company wants to earn a profit of \$32,000 instead of breaking even, what is the number of units the company must sell?
• Number of  units = Fixed Cost  / Contribution Margin
• 125000 / 11 = Total units
• 11363.63
 a = \$11 & b = 11364 units

• The cost of two tables and three chairs is \$710. If the table costs \$55 more than the chair, find the cost of the table and the chair.
•  2 table + 3 chair = \$710 table = 55\$ + chairputting this 1st equation 2 (\$55+chair) + 3 chair = \$710 \$110 + 2 chair + 3 chair = \$710 5 chair = \$710 – \$110 1 chair = 600/5 chair = \$120To find the table cost we will put the value of chair in the st equaltionTable = 55 + chair Table = 55 + 120 Table = \$175
 chair = \$120 & table = \$175

• The price of tennis racket is \$165 after a 15% reduction is taken. How much was the racket before discount?
 Total discount/reduction = 15% Price of Tennis Racket after discount = 165 so we can say, total amount = t 165 = t * 85/100 165 x 100 / 85 = t 16500/85 = t 194.117 = t
 Price before discount = \$194.12

• Sam’s final mark for her Numerical Method course was based on four tests with different weightings. Lab Work counts for 40% of the final grade, Mid Term for 20%, Assignment for 15% and Final Exam for 25%. If Mike received 65% on Lab Work, 85% on Mid Term, 75% on Assignment and 55% on Final Exam, calculate his final percentage.
•  Lab work = 40% = 0.4 Mid term = 20% = 0.2 Assignment = 15% = 0.15 Final exam = 25% = 0.25Final Marks  = 0.4 x 65 + 0.2 x 85 + 0.15 x 75 + 0.25 x 55 Final marks = 26 + 17 + 11.25 + 13.75Final marks = 68%
 68%

• Philips invested \$7000 in a business on January 1. He withdrew \$700 on March 1, reinvested \$600 on August 1, and withdrew \$800 on September 1. What is Philip’s average monthly investment balance for the year?
•  To calculate average balance of the year January 1: \$7000 February 1: \$7000 March 1: \$6300 (\$7000 – \$700) April 1: \$6300 May 1: \$6300 June 1: \$6300 July 1: \$6300 August 1: \$6900 (\$6300 + \$600) September 1: \$6100 (\$6900 – \$800) October 1: \$6100 November 1: \$6100 December 1: \$6100Average monthly balance = total of all/12