1. What is the systems of equations I would setup in order to solve the following question and the logic behind it:

Prototypes of three gadgets were produced by Research and Development (R&D) teams that consisted of engineers, hardware technicians, and software technicians.It is standard practice for Acme's R&D team members to focus on several projects at once as determined by the needs of the project and each team member's specific expertise. As such, its unclear as to how many engineers, hardware techs and software techs will be needed to produce each gadget type. Instead, Acme tracks the number of hours that engineers, hardware technicians and software technicians dedicate to each project by hours per individual. This data allows Acme to recover the number of Engineers, Hardware technicians and Software technicians required for the production of each Gadget. The following data was collected during the production of the prototypes:

Hrs Per Engineer Hrs Per Hardware Tech Hrs Per Software Tech Total # of Hours to Produce Prototypes Total Produced

Gadget A: 25 45 25 1000 20000

Gadget B: 196 32 30 1700 25000

Gadget C: 63 59 100 2000 16000

From the production data, formulate a system of equations that will allow you to recover the number of Engineers, Hardware Technicians and Software Technicians needed to create the prototypes of Gadget A, Gadget B and Gadget C.Solve the system of equations you have developed to determine the number of Engineers, Hardware Technicians and Software Technicians

Engineers/Gadget Hardware Techs/Gadget Software Techs/Gadget

Gadget A:

Gadget B:

Gadget C:

2.What is the equations I would setup in order to solve the following question and the logic behind it:

In order to launch the new gadget line, Acme is securing investor financing to cover the first year of fixed costs from private investors. A first private investor is willing to loan Acme the funds needed to cover the fixed costs associated with producing the chosen gadget to be paid back in 1 year with a fixed cost of borrowing of $100,000; that is, the lender will charge a fixed dollar amount of $100,000 for the loan regardless of the principle borrowed.A second investor is willing to loan the money under a simple interest payment plan with an annual interest rate of 2.5% but requires the loan be repaid after 6 months.Provide Acme with a detailed comparison of the financing options and determine how each impacts the breakeven analysis below. To do so use the FV formula for simple interest to compare the two options.Determine the rate of interest being charged under the first option.Similarly, determine the cost of borrowing under the second option.What amount of principle must be borrowed in order for the two options to be equivalent?

3.What is the equations I would setup in order to solve the following question and the logic behind it:

Acme's Marketing team has established a manufacturer's suggested retail price (MSRP) for each gadget based on the feedback of consumers and tech journalists that were selected to review the prototype gadgets. The MSRP has been set as $449, $499, and $425 for Gadgets A, B and C respectively. Acme's sales team wishes to establish a sale price to retailers (The Net Price) that will allow retailers a series of markdowns for the gadget, first by 10% during regular sale periods, with room for a second discount of 20% (applied to the first) during special sale periods (Black Friday and Boxing Day), while still allowing the retailer a mark-up of at least 15% over the net price. Find the maximum net price for each gadget and determine how this net price impacts the breakeven analysis below.