Sometimes, we are interested in the rate at which the MRTS diminishes. That is, does the slope of the isoquant flatten out quickly or slowly as the capital is replaced with labor? This is measured by the elasticity of substitution σ which is the percent change in the ratio K/L per a percent change in the MRTS: σ = (dK/L /dMRTS) (MRTS/ K/L)

The problem consider the constant elasticity of substitution production function

q = (L^rho + K^rho )^1/rho

Let rho = 1/2 and rho be any arbitrary constant less than one.

Required:
a. Explain what it means if σ is large and what it means if σ is small.
b. Calculate the MRTS of the constant elasticity of substitution production function.
c. Solve for K/L in terms of the MRTS.

EXPLANATION:

Dhaliwal Digital categorizes its accounts receivable into three age groups for purposes of estimating its allowance for uncollectible accounts. 1. Accounts not yet due $285,000; estimated uncollectible 5 % . 2. Accounts 1-45 days past due $39,600; estimated uncollectible 10 % 3. Accounts more than 45 days past due $15,800; estimated uncollectible 15 % Before recording any adjustments, Dhaliwal has a debit balance of $71,100 in its allowance for uncollectible accounts. Required: 1. Estimate the appropriate 12/31/2021 balance for Dhaliwal's allowance for uncollectible accounts. 2. What journal entry should Dhaliwal record to adjust its allowance for uncollectible accounts? Required 1 Required 2 Estimate the appropriate 12/31/2021 balance for Dhaliwal's allowance for uncollectible accounts. Balance in allowance for uncollectible accounts Required 2

Dhallwal Digital categorizes its accounts receivable into three age groups for purposes of estimating its allowance for uncollectible accounts. 1. Accounts not yet due $285,000; estimated uncollectible 5 %. 2. Accounts 1-45 days past due $39,600; estimated uncollectible 10 %. 3. Accounts more than 45 days past due $15,800; estimated uncollectible 15 % Before recording any adjustments, Dhaliwal has a debit balance of $71,100 in its allowance for uncollectible accounts. Required: 1. Estimate the appropriate 12/31/2021 balance for Dhalwal's allowance for uncollectible accounts. 2. What journal entry should Dhallwal record to adjust its allowance for uncollectible accounts? Required 1| Required 2 What journal entry should Dhaliwal record to adjust its allowance for uncollectible accounts? (If no entry is required for a transaction/event, select "No jounal entry required" in the first account field.) View transaction list Journal entry worksheet Record the adjustment to allowance for uncollectible accounts. Note: Enter debits before credits. Event General Journal Debit Credit Record entry Clear entry View general journal