Ixabepilone and capecitabine combination has demonstrated to be an active regimen in patients with metastatic breast cancer (MBC) after failing an anthracycline and a taxane regimen. Cetuximab is active in tumors that express epidermal growth factor receptor (EGFR) with demonstrated activity in head and neck and colorectal tumors. A proportion of breast cancers are known to express EGFR. Cetuximab's mechanism of action suggests the possibility of efficacy in breast cancer patients, and several studies show that it may be efficacious in Triple Negative Breast Cancer (TNBC). This study seeks to evaluate Ixabepilone alone or in combination with cetuximab as a possible way to increase antitumor activity. In this randomized open-label phase II trial, patients will be randomized equally between 1) Ixabepilone or 2) Ixabepilone plus Cetuximab. Randomization will be stratified by disease stage (T1N1-3M0 or T2-4 N0-3M0).