A retailer is considering building a large store. If the local economy experiences expansion, the firm expects the store to earn a $$2,000,000$ profit next year. If the local economy experiences a contraction, the firm expects the store to lose $$400,000$ next year. Analysts estimate a $20\%$ chance for the local economy to experience an expansion next year $($hence an $80\%$ chance for contraction$).$ What is the expected monetary value $($EMV$)$ of building the large store?$$A retailer is considering building a large store. If the local economy experiences expansion, the firm expects the store to earn a $$2,000,000$ profit next year. If the local economy experiences a contraction, the firm expects the store to lose $$400,000$ next year. Analysts estimate a $20\%$ chance for the local economy to experience an expansion next year $($hence an $80\%$ chance for contraction$).$ What is the expected monetary value $($EMV$)$ of building the large store?$$