A coffee shop uses an online system to engage customers. After each transaction, customers receive a text asking them to rate th

It is likely that Joann has a Point of Services insurance plan. There are six types of health insurance plans that vary in premium and benefits. The HMO, PPO, EPO, and POS plans all offer similar benefits. However, the POS plan provides the greatest flexibility regarding healthcare providers. Consequently, the POS plan is the most appropriate option.

Response:

Details:

The journal entry for the payment received on April 13 from a customer is recorded as:

Date Account title and explanation Ref Debit Credit

Apr-13 Cash ($5000 - $150)                  $4,850  

         Sales discount ($5000* 3%)      $150  

                    Accounts receivable

                                                                            $5000

(To document the payment received from the customer after discount    

Answer:

A) The equation for net benefits is given by 20 + 24Q - 4Q²

B) 40; 40

C) MNB(Q) = 24 - 8Q

D) 16; -16

E) Q = 3

F) 0

Explanation:

a) This outlines the formula for net benefits.

Essentially, net benefits arise when total benefits surpass total costs from Q units of the control variable.

From this definition, we derive the equation

N(Q)= B(Q) - C(Q)

Where

N(Q)= Net benefits from Q units of control variable

B(Q)= Total benefits from Q control variable units

C(Q)= Total cost from Q units of the control variable

We are informed that B(Q)= 100 + 36Q - and C(Q) = 80 +12Q

This implies:

N(Q)= 100 + 36Q - 4Q² - (80 + 12Q)

= 100 + 36Q - 4Q² - 80 - 12Q

= 20 + 24Q - 4Q²

b) To find the net benefits when Q = 1 and Q=5

Step 1) For Q=1, we apply the 20 + 24Q - 4Q² formula

= 20 + 24(1) - 4(1²)

= 20 + 24 - 4

= 40

Step 2) For Q=5, we use the 20 + 24Q - 4Q² formula

= 20 + 24(5) - 4(5²)

= 20 + 120 - 100

= 40

c) To determine the marginal net benefits equation

Marginal net benefits reflect the change in net benefits caused by a change of one unit in the control variable

The formula is formulated as follows:

MNB(Q) = MB (Q) - MC(Q)

Where

MNB(Q)= The marginal net benefits at the Q level of the control variable

MB(Q)= marginal benefits

MC(Q)=Marginal Costs

We are already informed: MB(Q) = 36 – 8Q and MC(Q) = 12.

This indicates

MNB(Q)=MB (Q)-MC(Q)

= 36-8Q-12

= 36-12-8Q

= 24-8Q

Thus, MNB(Q) = 24-8Q

d) To find marginal net benefits

Step 1) When Q=1 we apply the marginal net benefit formula MNB(Q)= 24-8Q

=MNB(Q)= 24-8(1)

= 16

Step 2) For Q=5 we utilize the marginal net benefit MNB(Q)= 24-8Q

=MNB(Q)= 24-8(5)

=24-40

=-16

e) To calculate maximum net benefits, which occur when marginal costs equal marginal benefits (indicating the control variable level).

MB(Q)=MC(C)

MB(Q)= Marginal benefits

MC(Q)= Marginal Costs

We know that MB(Q) =36-8Q and MC(Q)=12

Therefore, setting maximum benefit

= MB(Q)= MC(Q)

=36-8Q=12

8Q=36-12

8Q= 24

So, Q= 3.

This indicates that at Q equal to 3, net benefits achieve maximum levels

f) To compute marginal net benefits - the difference between marginal costs and benefits

MNB(Q)=MB(Q)-MC(Q)

MNB(Q)= Marginal net benefits

MB(Q)= Marginal benefits

MC(Q)= Marginal Costs

We are aware that MB(Q) =36-8Q and MC(Q)=12

MNB(Q)= 36-8Q-12

=36-12-8Q

=24-8Q

As established, maximum levels of net benefits occur at Q = 3, substituting Q with 3 in the equation

MNB(Q)= =24-8(3)

= 24-24

=0

This indicates that at Q = 3, net costs balance out with net benefits, maximizing net benefits.