Based on the information given, the approach that describes the strategy that was used by the company is that Sen Corp. should issue the debentures since the after-tax cost of debt (5.347%) would be less than the cost of equity (5.825%).
A debenture simply refers to the rule of bond that's unsecured by collateral. Debentures typically rely on the reputation of the issuer.
From the complete information, the company wants to obtain $30 million in new capital to expand its plant. Therefore, it's appropriate to issue the debentures since issue the cost of equity is more than the after-tax cost of debt.
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