The yearly fluctuations in the groundwater table are believed to be dependent on the annual rainfall and the volume of water pumped out from the basin. The data collected on these variables for four consecutive years is given below:
Use the method of least squares to find a linear regression equation that best fits the data.
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The yearly fluctuations in the groundwater table are believed to be dependent on the annual rainfall and the volume of water pumped out from the basin. The data collected on these variables for four consecutive years is given below:
Use the method of least squares to find a linear regression equation that best fits the data.
Consider the discrete time population model given by Nt+1=
for a population, where r is the intrinsic growth rated, b is a positive parameter. Determine the non-negative steady-state and discuss the linear stability of the model for 9 < r < .1 Also find the first bifurcation value of the parameters.
The daily capacity of each of the factory is 150 per day and the daily requirement over each target store is 200. Find the allocation for each factory to each target store which minimize the total transport cost.
A company has factories at F1 ,F2 and F3 that supply products to warehouses at W1, W2 , and W . 3 The weekly capacities of the factories are 200, 160 and 90 units, respectively. The weekly warehouse requirements are 180, 120 and 150 units, respectively. The unit shipping costs (in ₹) are as follows:
Determine the optimal distribution for this company in order to minimize its total shipping cost.
Consider the data showing observations on the quantity demanded of a certain commodity depending on commodity price and consumers’ income:
Find the multiple regression equation that best fits the data.
A locality is served by two malls. Each mall has two counters to serve the customers. Both the malls are equally popular and are known to have equal shares of the market. This is evident from the fact that customer’s arrive at each mall’s serving counter at the rate of 12 customers per hour. The average time to serve a customer is 05 minutes. Customers’ arrival is according to a Poisson distribution and the service time is exponential. To provide better service to the customers, the owners of the two malls decide to consolidate into a single larger mall. What is the effect of consolidation on the waiting time of customers?
The deviation )t(g of a patient’s blood glucose concentration from its optimal concentration satisfies the differential equation
for α being a positive constant, immediately after the patient fully absorbs a large amount of glucose. The time t is measured in minutes. Identify the type (over-damped, under-damped or critically-damped) of this differential equation. Find the condition on α for which the patient is normal.