Consider the following PERT time estimates: Activity Immediate Predecessors a m b
A 2 5 9
B A 1 6 8
C A 3 5 12
D B 2 4 12
E B, C 4 6 8
F B 6 7 8
G D, E1 2 6
H F, G 4 6 16
a. Draw a network for this project and determine the critical path based on the most likely times by inspection.
b. Assuming that the critical path is the one you identified in part (a), what is the probability that the project will be completed before 28 weeks? Before 32 weeks?
c. Assuming that the critical path is the one you identified in part (a), how many weeks are required to complete the project with probability.95?

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

The retained earnings account has a credit balance of $24,650 before closing entries are made. if total revenues for the period are $77,700, total expenses are $56,900, and dividends are $13,050, what is the ending balance in the retained earnings account after all closing entries are made?

Frugala is when sylvestor puts $2,000 into 10-year state bonds and $3,000 into 5-year aaa-rated bonds in steady hand hardware, inc. he buys the four state bonds at a 5 percent interest rate and the three steady hand bonds at a 6.5 percent rate. sylvestor also buys $1,500 worth of blue chip stocks, and $800 worth of stock in a promising new sportswear company that reinvests its earnings in new growth. 1. (a) what is the maturity for each of the bond groups sylvestor buys? (b) the coupon rate? (c) the par value?