Initially, three firms a, b, and c share the market for a certain commodity. firm a has 30% of the market, firm b has 45%, and c has 25%. each year, the following changes occur:

• a keeps 75% of its customers, while losing 15% to b and 10% to c.
• b keeps 60% of its customers, while losing 5% to a and 35% to c.
• c keeps 65% of its customers, while losing 15% to a and 20% to b.

(a) what is the current market share vector (ordered for a, b, and c)?
(b) find the transition matrix for this scenario.
(c) find the share of the market that each company has after two years.

Tiana daniels enterprise’s trial balance as at december 31, 2016 did not balance. on february 15, 2017 the following errors were detected: errorsi. water rates had been undercast by $2, 000.  ii. a cheque paid to yvonne walch of $2, 680 had been posted to the credit side of her account.  iii. discount received total of $1, 260 had been posted to the debit side of the discount allowed account as $1, 620.  iv. rent paid in the amount of $24, 000 had been posted to the credit of the rent received account.  v. wayne returned goods valuing $1, 680 to daniels enterprise but had been completely omitted from the books.    required: 1. prepare the journal entries to correct the errors.  (narrations required)                    14.5 marks  2.    prepare the suspense account showing clearly the original trial balance error.          8 marks

True or false: a fitted model with more predictors will necessarily have a lower training set error than a model with fewer predictors.

Arecession is defined as a period in which