Question

My Notes Ask Your T A company has developed a design or a high-quality portable printer. T a to kay components of man acturing cost are direct labor and parts. During a testing period the company has dGYe pad prototypes and conducted ฉ tans ve product tasts with tha nepr tar. T company's "ngin.er, have cev"leped h" bnartste Probability distritution "hon b. ow or the menu acturing cost Part, eest in dolar, per pnnter י, represented by the randerm variab . xand direct .bor cost in dollar, per pn ter ', r" resented by e 깨nder, variab . Management would le to use this probability distribution to estimate manufacturing coss Direct Labor (y) Parts (x) 345 48 Total 0.05 0.2 0.2 0.43 0.25 010.20.55 (a) Show the marginal distribution of direct labor cost and compute its expected value (in dollars), variance, and standard deviation [in dollars). (Round your anawer for standard deviation to the nearest cant.) Marginal Distribution of Direct Labor Cost 代y) yf(y) Var(y) = Ely)- dollars dollars (b) Shov, th. marginal datribution of parts cost and compute ta·xpected valu. in dollara , varianc. and tandard devstion (in dallara). Round your answer for tandard d.vıation to th. nearest crt. Marginal Distribution of Parts Cost for) xf(x) x - E(x) (x E(x))2 (x E(x))x) 85 (c) Total manufacturing cost per unit is the sum of direct labor cost and parts cost. Show the probability distribution for total manufacturing cost per unit. F(z) 128 130 133 138 140 143 Total 1.00 (d) Compute the expected value (in dollars), variance, and standard deviation (in dollars) of total manufacturing cost per unit. (Round your answer for standard deviation to two decimal places.) expected value dollars standard deviation dollars (e) Are direct labor and parts costs independent? Why or why not? Since the covariance equals If you conclude that direct labor and parts costs are not independent, what is the relationship between direct labor and parts cost? which ..-Select… ▼ equal to zero, we can conclude that direct labor cost " Select-. ▼ independent of parts cost. O There is a positive correlation between the costs of direct labor and parts O There is a negative correlation between the costs of direct labor and parts. O The costs of direct labor and parts are independent. (f) The company produced 1,600 printers for its product introduction. The total manufacturing cost was $198,450. Is that about what you would expect? The expected manufacturing cost for 1,600 printers is $ If it is higher or lower, what do you think may have caused it? (Select all that apply.) which is $198,450 0 A supplier increased the cost of one of the more common printer parts this company uses in the manufacturing process. At first there was a steep learning curve, but as more printers were manufactured direct labor costs decreased. There was an increase in the cost of direct labor due to an influx of many new employees. O The expected manufacturing cost is equal to $198,450o

Answer 1

此-labous.cy)| Tots.丬 045 25 Ss Soluhim Parts Cu3 5us 8s a s a) Margina) Distibution direct labeus oe าร. 12.9 -2.6 2.02と 43 6.3 45 | 0,3 48414.2.4 13.S 0-4 -36 o-108 S-74 2.30 ax )4-14 EC) 4-6 2.107 Expect d value 4S- 6 doo b) manjinal Distri bulf on parts ent 8s -s-s 30.2S 3-612s 1 137S Var () 24.7s o4.S s o.SS

Standond deviation 9 4.47 8S +us 130 8s+ 133 9S+ 43 138 O.DS 0.2 o.2 o.2S 0 2 as+48 I43 Tota Expeoted value ECz)Z z.tz) 136-1 Variance Var (2) Σ(e-EC) f(z) = 4.96

e) EC)424-s at computa E(x). E (Y) ; 90-5 * 45-6 412 6.2 o diect labou colt and parts cast nob indepdat Corne lahi on ECxY) - E(x) ECY) V(R).VY) 412,Y-S-4126.2 24,75 4,44 2.053 = -'. There is a negative CorvetaHcn betoon tu cost dire et (ason and po Fetal printey produced Expected value = 13 expected cost吽production 1600x1361 -'· Expected cut is higheγ tt, an he given manufacturing ru Expected, arst higher, bec awa at fixst忄terewasa, steep .. = 17,760 cost ustich 198 45 learning cun ve, but ot mone printers were manufatuxcd, dive t ta hing cur ve, but a move pinters wwere manu o-bous, cast decreased