Question

An appliance store dealing in washers and dryers has store room capacity limited to 50 items. Each washer requires 2 hours to unpack and set up, and each dryer requires 1 hour. The manager has 80 hours of employee time available for unpacking and setting up. Washers sell for $300 each and dryers sell for $200 each. How many of each should the manager order to obtain the maximum revenue?

Answer 1

Explanation:

Step 1

1 of 2

Given:

�

0

=

2

%

=

0.02

p

0

​

=2%=0.02

�

=

60

n=60

�

=

5

x=5

CONDITIONS

We will use the $\textbf{one-proportion

�

z-test}$, since we are interested in testing the claim about one population proportion.

Conditions

Conditions: Random sample, 10% condition, Success-failure condition

Random sample: Satisfied, because the washers were randomly checked.

10% condition: Satisfied, because the 60 washers is less than 10% of all washers.

Success-failure condition: Not satisfied, since

�

�

0

np

0

​

and

�

(

1

−

�

0

)

n(1−p

0

​

) are not both at least 10.

�

�

0

=

60

(

0.02

)

=

1.2

<

10np0=60(0.02)=1.2<10�(1−�0)=60(1−0.02)=58.8≥10n(1−p0)=60(1−0.02)=58.8≥0

Thus we note that all conditions are not satisfied and thus we should not proceed with the test.