For the year ending december 31, 2018, sparks electric expects net cash provided by operations of $ 328 comma 000, net cash used by investing activities of $ 139 comma 000, and net cash provided by financing activities of $ 46 comma 000. sparks plans to spend $ 255 comma 000 to add a warehouse for its operations and pays $ 33 comma 000 in cash dividends. what is the amount of free cash flow?

Anderson, a computer engineer, and spouse, who is unemployed, provide more than half of the support for their child, age 23, who is a full-time student and who earns $7,000. they also provide more than half of the support for their older child, age 33, who earns $2,000 during the year. how many dependents may the andersons claim on their joint tax return?

Atoy manufacturer makes its own wind-up motors, which are then put into its toys. while the toy manufacturing process is continuous, the motors are intermittent flow. data on the manufacture of the motors appears below.annual demand (d) = 50,000 units daily subassembly production rate = 1,000setup cost (s) = $85 per batch daily subassembly usage rate = 200carrying cost = $.20 per unit per year(a) to minimize cost, how large should each batch of subassemblies be? (b) approximately how many days are required to produce a batch? (c) how long is a complete cycle? (d) what is the average inventory for this problem? (e) what is the total annual inventory cost (holding plus setup) of the optimal behavior in this problem?

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005