Our cash margins on Company produced coal declined 35% in the sequential period. This decline was caused primarily by lower realized pricing and higher mining costs. Overall Company cash costs per ton sold on total produced coal were $74 per ton in the second quarter of 2020, compared to $67 in the first quarter of 2020. Cash costs on Company produced coal at Elk Creek were $72 per ton sold in the second quarter of 2020 compared to $61 in the first quarter of 2020. Second quarter mine cash costs were adversely impacted by the limited mine production in April as a result of the previously disclosed mine furlough that month, which caused fixed costs to get spread out across fewer tons. Mine cash costs at Elk Creek in May and June averaged $64 per ton sold. In those months the mines were operating at closer to normal rates, although given the slowdown in overall demand, they were still below first quarter 2020 levels.
Other income came in at $8.5 million in the second quarter of 2020, which compared to $1.2 million in the first quarter of 2020. On April 20, 2020, we received $8.4 million in loan proceeds from the SBA Paycheck Protection Program (PPP). Based upon receipt of this funding, we elected to recall approximately 200 workers at our Elk Creek complex who had been furloughed in March. In the second quarter, we used the PPP proceeds for eligible payroll expenses, lease, interest and utility payments totaling $7.3 million. We have since used the balance of loan proceeds for similar purposes. We anticipate that the $8.4 million amount of the PPP Loan principal will be forgiven, together with accrued interest thereon. Accordingly, we have recognized $7.3 million as other income in the second quarter.
Additional Financial Results
At June 30, 2020, the Company had $9.8 million of cash on hand plus $22.0 million of availability under its revolving credit facility, (which had $8.0 million drawn) and net debt of $11.1 million. In the second quarter, we also borrowed an additional $13.2 million under two credit facilities, including the PPP Loan facility mentioned above, in order to further improve our liquidity. Securing this funding was key to limiting the length of the employee furlough period in April, as well as retaining a greater number of employees and maintaining payroll.
In the second quarter of 2020, our three largest working capital items caused an $8.3 million increase in use of cash compared to the first quarter of 2020, due to a $2.0 million increase in inventory, $1.4 million increase in accounts receivable, and $4.9 million decrease in accounts payable. Year to date, inventories have been a $10.2 million use of cash, as they have increased 67% during that time. We anticipate this trend should reverse in the second half of 2020, especially in the fourth quarter.
In the first six months of 2020, the Company recorded an income tax expense of $1.4 million, including $435 thousand as a discrete item associated with stock-based compensation. The effective tax rate for the six months ended June 30, 2020, excluding this discrete item, was 16%. Actual cash taxes paid in 2020 are anticipated to be less than $10 thousand. Ramaco also expects to continue to pay minimal taxes for the foreseeable future due to tax loss carryforwards.
Capital expenditures totaled $18.0 million for the six months ended June 30, 2020, including $9.1 million in the second quarter of 2020. Approximately, two-thirds of total capital in the second quarter related to both the Berwind mine and the Elk Creek plate press projects. A large portion of this was incurred during the first quarter of 2020, but paid in the second quarter of 2020, and the plate press project is now complete.
Looking forward, we are now at maintenance capital expenditure levels both on a cash and an accrual basis, and would expect third quarter 2020 capital expenditures to come in roughly two-thirds below second quarter 2020 levels, and in-line with our historical guidance of $6-7 per ton maintenance capital expenditure levels.