Search & Filtering
A farmer can plant up to eight hectares of land with rice and corn. He can earn P 5,000.00 for
every hectare he plants with rice, and P 3,000.00 for every hectare he plants with corn. His use of a
necessary fertilizer is limited by the Credit Cooperative Policy of 10 gallons for his entire 8-hectare
land. Rice requires 2 gallons of fertilizer for every hectare planted, and corn just 1 gallon per hectare.
Find the farmer’s maximum profit
A dog owner wants to minimize the cost of buying dog food for his bullmastiffs. Two types of dog
food are available mixed with three kinds of minerals: calcium, phosphorous, and potassium. The per
kilo cost of dog food A and dog food B are P 20.00 and P 16.00, respectively, whereas the minimum
requirement of calcium, phosphorous and potassium are 75, 50, and 30 units, respectively. Also, in
one kilogram of dog food A, 5 units of calcium, 2 units of phosphorous, and 3 units of potassium are
mixed. Again, in one kilogram of dog food B, 4, 6, 3 units of calcium, phosphorous, and potassium,
respectively are mixed. How many of each type of dog food must be bought to minimize the cost?
A 9N force F1 and a 10N force F2 act in the same direction 2i+j-2k and 4i-3j respectively.
a) Find the resultant of the two forces
b)find the total work done if the forces make the object move 2m along the vector S=i+j+k
c)what is the maximum work done that can be achieve if the forces displace the object by 1m?
d)what is unit vector along which the object will move to achieve maximum work done?
f) find F1.F2
g) find F1*F2
VI.
Rewrite the following conditional statement in “If p, then q.” form.
1. I will be able to receive my credential provided that Education 147 is offered in the spring
semester.
2. It is an ankylosaur only if it is quadrupedal.
3. Every odd prime number is greater than 2.
4. We can get a dog only if we install a fence around the backyard.
5. The triangle is 30º- 60º-90º triangle, if the length of the hypotenuse is twice the length of
the shorter leg.
VI.
Rewrite the following conditional statement in “If p, then q.” form.
1. I will be able to receive my credential provided that Education 147 is offered in the spring
semester.
2. It is an ankylosaur only if it is quadrupedal.
3. Every odd prime number is greater than 2.
4. We can get a dog only if we install a fence around the backyard.
5. The triangle is 30º- 60º-90º triangle, if the length of the hypotenuse is twice the length of
the shorter leg.
Test the forecasting ability of your chosen model. For yearly data use 4 years, for quarterly data use
one year Q1 to Q4.
5.1 Present the results of your forecast using a graph and a table that has 3 columns ( Actual values,
Forecasted Values , Percentage difference)
5.2 Do a 2 year forecast for yearly data and a 1 year forecast for quarterly data for your variable and
comment on the forecast as an economic advisor on policy (NB this is now forecasting outside the data
points you have, based on the fact that you already proved in 5.1 that your model can make good
forecasts .
3.1 Describe the criteria that will be used to select the best ARIMA (p, d ,q) model
3.2 Use a table like the one in the class notes to present the estimation results for your different
models
3.3 Describe how you selected the best model that you will use for your forecast
2.5 Present the stationary graph
(1 mark)
2.6 Present the Correlogram after differencing (if you had to difference)
(1 mark)
2.7 Identify the different potential ARIMA (p, d, q) models you will use and explain how you chose
the p. the d and the q
Difference the series if you have to and comment on the order on Integration of the series after
differencing
Find an expression for a square matrix A satisfying A2 = In, where In is the n × n identity matrix. Give 3 examples for the case n = 3.
#339914 on Dec 2023