subject: Math

solve the following questions ( handwritten / type solution only neatly and clean box final answer) thankyou!

The PORTA-VAC Company is planning to develop a new cordless vacuum cleaner. They have the following activities: A. Develop product design B. Plan market research C. Prepare routing(manufacturing engineering) D. Build prototype model E. Prepare marketing brochure F. Prepare cost estimates (industrial engineering) G. Do preliminary product testing H. Complete market survey I. Prepare pricing and forecast report J. Prepare final report Activity time estimates (in weeks) for the PORTA-VAC project Activity Immediate Optimistic Most Pessimistic Expected Variance Predecessor (a) Probable (b) Time (m) A - 4 5 12 B 13 WU A 4 A 11 E A WAWNWA D H B.E H F.G.I 2 a. Develop a project network and determine the expected project completion time. b. What is the probability that the project completion will meet the 20-week deadline?1L Formulate the linear programming model for the given problem. (10 points) 1) Kal-Q Company makes three types of calculators: ordinary, scientific and graphing. Each ordinary calculator has one plastic case, containing 7 microcircuits and requires 4 working hours. Each scientific calculator has one plastic case, containing 12 microcircuits and requires 6 working hours. Each graphing calculator has one plastic case, containing 25 microcircuits and requires 9 working hours. If the company has at least 50 plastic cases, exactly 250 microcircuits and at most 230 working hours, how many of each model must be produced to maximize the profit if each ordinary calculator gives a profit of PB0, scientific calculator, a profit of P95 and graphing calculator, a profit of P120