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Let's break down the problem presented in the image.

### Given Information:
- A per-unit tax is levied on a product with a **linear downward-sloping demand curve** and a **linear upward-sloping supply curve**.
- The tax:
  - Lowers **consumer surplus** by **$8502**.
  - Lowers **producer surplus** by **$3805**.
  - Causes a **deadweight loss** of **$2357**.
  
### (a) Government tax revenue
To find the tax revenue, we can use the idea that the total effect of the tax on the market is the sum of the changes in consumer surplus, producer surplus, and deadweight loss. The formula for total tax revenue ($ \text{Revenue} $) is:

\[
\text{Revenue} = \text{(Change in Consumer Surplus)} + \text{(Change in Producer Surplus)} - \text{(Deadweight Loss)}
\]

Substitute the given values:

\[
\text{Revenue} = 8502 + 3805 - 2357 = 9949 \, \text{dollars}
\]

So, the **government tax revenue** is **$9949**.

### (b) Effect on Quantity
We know that the **tax rate is $28 per unit**. The tax revenue is the product of the tax rate and the quantity transacted after the tax. Using the revenue formula:

\[
\text{Revenue} = \text{Tax Rate} \times \text{Quantity Transacted}
\]

Thus, using the tax revenue from part (a):

\[
9949 = 28 \times \text{Quantity Transacted}
\]

Solving for the quantity transacted:

\[
\text{Quantity Transacted} = \frac{9949}{28} = 355.32 \, \text{units} 
\]

This value represents the quantity of units transacted after the tax is imposed.

### Change in Quantity:
To determine the change in quantity from the initial equilibrium to the new equilibrium, we would need additional information about the original quantity transacted before the tax. The problem asks for how many units the tax lowers the quantity from the initial value.

### Summary:
- **(a)** Government tax revenue is **$9949**.
- **(b)** The quantity transacted after the tax is approximately **355 units**, but the reduction from the initial quantity requires more details.

Would you like further details or clarification?

### 5 Related Questions:
1. How is consumer surplus affected by taxes in general?
2. What causes deadweight loss in a market with a tax?
3. Can the government tax revenue exceed the sum of consumer and producer surplus reductions?
4. How do the slopes of demand and supply curves influence tax incidence?
5. Why do linear demand and supply curves simplify the analysis of taxes?

### Tip:
When dealing with tax problems, always remember that the total loss to consumers and producers exceeds the government's tax revenue by the deadweight loss, representing inefficiencies in the market caused by the tax.

Suppose a per-unit tax is levied on a product which is characterized by linear downward-sloping demand curve and linear upward-sloping supply curve. The tax lowers the consumer surplus by $8502 and lowers the producer surplus by $3805. The deadweight loss is $2357.
(a) The government tax revenue is _______ at the equilibrium.
(b) Suppose we also know that the tax rate is $28 per unit. We can conclude that the tax lowers the quantity transacted from _______ units to _______ units.

Learn how a per-unit tax affects consumer and producer surplus, deadweight loss, and government tax revenue. This problem breaks down the tax effects on a market with linear supply and demand curves. Tax rate: $28/unit. Reductions in consumer and producer surplus are given, along with deadweight loss.

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