Answer:
B. The manager estimate is reasonable. They ordered about 150 picks and sold about 200 picks, so they should have about 50 fewer than they started with.
Step-by-step explanation:
Given:-
Previous guitar In-stock before ordering and selling(P) = 500 picks. -----(equation 1)
Now, ordered guitar is 15 boxes of 9 picks each.
Ordered guitar=15 [tex]\times[/tex] 9
Hence, Ordered guitar(O)=135 picks ------------(equation 2)
Now, selled guitar is 19 boxes of 10 picks each.
So, Selled guitar = 19[tex]\times[/tex] 10
Hence, Selled guitar(S) =190 picks ------------(equation 3)
Now to calculate current in-stock of guitar we can write as,
Current guitar in-stock(C) = Previous in-stock(P) + Ordered guitar(O) - Selled guitar(S)
[tex]C=P+O-S[/tex]
[tex]C=500+135-190[/tex]
[tex]C=635-190[/tex]
[tex]C=445[/tex]
[tex]\therefore[/tex] Current guitar in-stock(C) = 445 picks ------(equation 4)
So, difference in-stock (D) = Previous guitar in-stock(P)- Current guitar in stock(C)
[tex]D=P-C[/tex]
[tex]D=500-445[/tex]
[tex]D=55[/tex]
Therefore Difference in Previous and current stock of guitar(D) = 55 = 50 pick approx.
Hence, the manager estimate is reasonable. They ordered about 150 picks and sold about 200 picks, so they should have about 50 fewer than they started with.