Do any of yall use manifestion?

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

1. list five staple convenience goods that you or your household buys on a regular basis. (you do not need to use complete sentences. 2.5 points) 2. list three impulse convenience goods that you or someone you know has purchased. (you do not need to use complete sentences. 2.5 points) 3. describe a shopping good that you or someone you know purchased. what kind of research did you or that person do before buying the product? (1-5 sentences. 3.0 points) 4. choose an example of a company you could start, and decide which business structure would make the most sense for that type of company (sole proprietorship, partnership, llc, c corporation, s corporation, or nonprofit corporation). explain why this structure would be good for this type of company. give at least 3 reasons. (3-6 sentences. 6.0 points) 5. if you were starting a new business, describe at least three departments to the company that you would need right away. why are these departments so important? (1-5 sentences. 3.0 points) 6. describe a product that you think has saturated its market. what makes you think it has saturated its market? (1-5 sentences. 3.0 points)