Given the following information about a small project, task duration immediateestimates predecessorsa 2 days noneb 5 days ac 4 days bd 9 days ae 4 days b & df 12 days e & cdraw a network diagram. identify the critical path, earliest start and finish and slack for each task. using ms excel, produce a gantt chart for this project. what would happen if a new estimate for task d increases its expected duration from 9 days to 11 days? would the project take longer? would anything else change?

Vulcan company is a monthly depositor whose tax liability for march 2019 is $2,510. 1. what is the due date for the deposit of these taxes? march 17 2. assume that no deposit was made until april 29. compute the following penalties. assume a 365-day year in your computations. round your answers to the nearest cent. a. penalty for failure to make timely deposits. $ b. penalty for failure to fully pay employment taxes $ c. interest on late payment (assume a 5% interest rate). $ d. total penalty imposed $

While studying for the engineering economy final exam, you and two friends find yourselves craving a fresh pizza. you can't spare the time to pick up the pizza and must have it delivered. "pick-up-sticks" offers a 1-1/4-inch-thick (including toppings), 20-inch square pizza with your choice of two toppings for $15 plus 5% sales tax and a $1.50 delivery charge (no sales tax on delivery charge). "fred's" offers the round, deep-dish sasquatch, which is 20 inches in diameter. it is 1-3/4 inches thick, includes two toppings, and costs $17.25 plus 5% sales tax and free delivery. 1. what is the problem in this situation? state it in an explicit and precise manner. 2. systematically apply the seven principles of engineering economy (pp. 3-6) to the problem you have defined in part (a). 3. assuming that your common unit of measure is dollars (i.e., cost), what is the better value for getting a pizza based on the criterion of minimizing cost per unit of volume? 4. what other criteria might be used to select which pizza to purchase?

Sales at a fast-food restaurant average $6,000 per day. the restaurant decided to introduce an advertising campaign to increase daily sales. to determine the effectiveness of the advertising campaign, a sample of 49 days of sales were taken. they found that the average daily sales were $6,300 per day. from past history, the restaurant knew that its population standard deviation is about $1,000. if the level of significance is 0.01, have sales increased as a result of the advertising campaign? multiple choicea)fail to reject the null hypothesis.b)reject the null hypothesis and conclude the mean is higher than $6,000 per day.c)reject the null hypothesis and conclude the mean is lower than $6,000 per day.d)reject the null hypothesis and conclude that the mean is equal to $6,000 per day.expert answer