Problem 2: Describe each of the following propositional functions on Z in succinct English with a minimum of symbols. Then find the truth sets of each. 1.) P(y) = “(x) (x < y)” 2.) Q(y) = “(x) (x<=y+ 5)” 3.) S(x) = “ (x>= 0) à (y) (x=y2)” Caution: quantifiers have higher operator precedence that logical operators, so this must be interpreted as “ (x>= 0) à [ (y) (x=y2) ]” Solution 1) P(y) = “(x) (x < y)” i.e. y must be greater than the domain i.e. all x values. 2) Q(y) = “(x) (x <= y + 5)” For any y, there exists x such that x-5 <=y maximum value x-5 can be y only. 3) S(x) = “ (x >= 0) à (y) (x = y2)” The curve x =y^2 for all x >0 Parabola open right..

1. Problem 7-19A Schedules of Expected Cash Collections and Disbursements [LO7-2, LO7-4,
LO7-8]
Sales on account are collected over a three-month period as follows: 20% collected in the month
of sale, 60% collected in the month following sale, and 18% collected in the second month
following sale. The remaining 2% is uncollectible.
Purchases of inventory will total $376,000 for December. Thirty percent of a month’s inventory
purchases are paid during the month of purchase. The accounts payable remaining from
November’s inventory purchases total $174,500, all of which will be paid in December.
Prepare a schedule of expected cash disbursements for merchandise purchases for December.
Prepare a cash budget for December. Indicate in the financing section any borrowing that will be
needed during the month. Assume that any interest will not be paid until the following month.
References
eBook & ResourcesYou have been asked to prepare a December cash budget for Ashton
Company, a distributor of exercise equipment. The following information is available about the
company’s operations:
Solution
1)
Schedule of Cash Receipt for the month: Schedule-1
(2) Shedule of Cash Disbursement
3)OctoberCash Sales68400Credit Sales415000Cash Collection of current Credit
Sales83000151400NoveCash Sales87400Credit Sales614000Earlier cash received-
October249000Cash Collection of current Credit Sales122800459200DecCash
Sales95800Credit Sales692000Earlier cash received-October74700Earlier cash received-
November73680Cash Collection of current Credit Sales138400382580