Distribute or not? suppose you need to compute z = (a + b)(x + y), where a and b are m × n matrices and x and y are n-vectors. (a) what is the approximate flop count if you evaluate z as expressed, i. e., by adding a and b, adding x and y, and then carrying out the matrix-vector multiplication? (b) what is the approximate flop count if you evaluate z as z = ax + ay + bx + by, i. e., with four matrix-vector multiplies and three vector additions? (c) which method requires fewer flops? your answer can depend on m and n. remark. when comparing two computation methods, we usually do not consider a factor of 2 or 3 in flop counts to be significant, but in this exercise you can.

Over the past several years, joyce chen has been able to save regularly. as a result, today she has $54,188 in savings and investments. she wants to establish her own business in 5 years and feels she will need $100,000 to do so. a. if she can earn 6% on her money, how much will her $54,188 in savings/investments be worth in 5 years? will joyce have the $100,000 she needs? if not, how much more money will she need? b. given your answer to part a, how much will joyce have to save each year over the next 5 years to accumulate the additional money? assume she can earn interest at a rate of 6%. c. if joyce can afford to save only $4,000 a year then, given your answer to part a, will she have the $100,000 she needs to start her own business in 5 years?

Mesa company produces wooden rocking chairs. the company has two production departments, cutting and assembly. the wood is cut and sanded in cutting and then transferred to assembly to be assembled and painted. from assembly, the chairs are transferred to finished goods inventory and then are sold. mesa has compiled the following information for the month of february: cutting department assemblydepartmentdirect materials $ 73,000 $ 13,000direct labor 73,000 108,000applied manufacturing overhead 159,000 171,000cost of goods completed and transferred out 233,000 255,000required: 1, 2, 3, & 4. prepare journal entries for the transactions in the cutting and assembly departments of mesa company. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field.)

Exercise 12-7 shown below are comparative balance sheets for flint corporation. flint corporation comparative balance sheets december 31 assets 2017 2016 cash $ 201,348 $ 65,142 accounts receivable 260,568 225,036 inventory 494,487 559,629 land 236,880 296,100 equipment 769,860 592,200 accumulated depreciation—equipment (195,426 ) (94,752 ) total $1,767,717 $1,643,355 liabilities and stockholders’ equity accounts payable $ 115,479 $ 127,323 bonds payable 444,150 592,200 common stock ($1 par) 639,576 515,214 retained earnings 568,512 408,618 total $1,767,717 $1,643,355 additional information: 1. net income for 2017 was $275,373. 2. depreciation expense was $100,674. 3. cash dividends of $115,479 were declared and paid. 4. bonds payable amounting to $148,050 were redeemed for cash $148,050. 5. common stock was issued for $124,362 cash. 6. no equipment was sold during 2017. 7. land was sold for its book value. prepare a statement of cash flows for 2017 using the indirect method.