Digital controls, inc, manufactures 2 models of a radar gun used by police to monitor the speed of automobiles. model a has an accuracy of plus or minus 1 mile per hour, whereas the smaller model b has an accuracy of plus or minus 3 miles per hour. for the next week, the company has orders for 100 units of model a and 150 units of model b. although dci purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a dci plant in newark, new jersey. each model a case requires 4 minutes of injection-molding time and 6 minutes of assembly time. each model b case requires 3 minutes of injection-molding time and 8 minutes of assembly time. for next week the newark plant has 600 minutes of injection-moulding time available and 1080 minutes of assembly time available. the manufacturing cost is $10 per case for model a and $6 per case for model b. depending upon demand and the time available at the newark plant, dco occasionally purchases cases for one or both models from an outside supplier in order to fill customer orders that could not be filled otherwise. the purchase cost is $14 for each model a case and $9 for each model b case. management wants to develop a minimum cost plan that will determine how many cases of each model should be produced at the newark plant and how many cases of each model should be purchased. the following decision variables were used to formulate a linear programming model for this problem. am= number of cases of model a manufacturedbm= number of cases of model b manufacturedap= number of cases of model a purchasedbp= number of cases of model b purchasedthe linear programming model that can be used to solve this problem is as follows: min 10am+6bm+14ap+9bps. t1am+ +1ap+ =100 demand for model a 1bm+ 1bp =150 demand for model b4am+3bm ≤600 injection molding time6am+8bm ≤1080 assembly timeam, bm, ap, bp ≥0a. what is the optimal solution, and what is the optimal value of the objective function? b. which constraints are binding? c. what are the dual prices? interpret each. d. if you could change the right-hand side of one constraint by one unit, which one would you choose? why?

The county collector of suncoast county is responsible for collecting all property taxes levied by funds and governments within the boundaries of the county. to reimburse the county for estimated administrative expenses of operating the tax agency fund, the agency fund deducts 1.5 percent from the collections for the town, the school district, and the other towns. the total amount deducted is added to the collections for the county and remitted to the suncoast county general fund.the following events occurred in 2017: 1. current-year tax levies to be collected by the agency were: county general fund $ 10,333,000 town of bayshore general fund 4,840,000 suncoast county consolidated school district 6,550,000 other towns 3,120,000 total $ 24,843,000 2. $13,700,000 of current taxes was collected during the first half of 2017.3. liabilities to all funds and governments as a result of the first half-year collections were recorded. (a schedule of amounts collected for each participant, showing the amount withheld for the county general fund and net amounts due the participants, is recommended for determining amounts to be recorded for this transaction.)4. all cash in the tax agency fund was distributed.requireda. prepare journal entries for each of the foregoing transactions that affected the tax agency fund. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1. record the current-year tax levies to be collected by the agency.2.record the current taxes collected during the first half of 2017.3.record the liabilities due to all funds and governments at the end of first half-year.4. record the distribution of all cash in the tax agency fundb. prepare journal entries for each of the foregoing entries that affected the town of bayshore general fund. begin with the tax levy entry, assuming 2 percent of the gross levy will be uncollectible. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1.record the revenues receivable and uncollectible.2. record the taxes collected

You invest all the money you earned during your summer sales job (a total of $45,000) into the stock of a company that produces fat and carb-free cheetos. the company stock is expected to earn a 14% annual return; however, 5 years later it is only worth $20,000. turns out there wasn't as much demand for fat and carb-free cheetos as you had hoped. what is the annual rate of return on your investment?

Which ranks these careers that employers are most likely to hire from the least to the greatest?