An emerging electric car company produces two vehicles: small 2-door sedans and mid- size suvs. they currently have one factory, which is outfitted to produce 2 sedans and 1 suv per hour when operating at maximum capacity. they are planning a new factory, and are trying to decide what production target the factory should be tooled for, in face of uncertain and dynamic consumer demand (a) write a system of linear equations that describe the problem of matching production to demand, using symbolic constants for the maximum hourly production of sedans and suvs from the new factory as well as for consumer demand for sedans and suvs. (b) use cramer's rule to derive a solution to this system, in terms of the symbolic constants. (c) what production values for the new factory would not yield a unique solution? (d) what consumer demands can be exactly satisfied with the production values deter- mined in (b)? (e) can you express conditions on the production values for the new factory that would yield a realistic solution, dependent on consumer demands?