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Starting at age 30, you deposit $2000 a year into an ira account for retirement. treat the yearly deposits into the account as a continuous income stream. if money in the account earns 7%, compounded continuously, how much will be in the account 35 years later, when you retire at age 65? how much of the final amount is interest?

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)