Amanufacturing company receives orders for engines from two assembly plants. plant i needs at least 45 engines, and plant ii needs at least 32 engines. the company can send at most 140 engines to these assembly plants. it costs $30 per engine to ship to plant i and $40 per engine to ship to plant ii. plant i gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant ii gives similar $10 rebates. the manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. how many engines should be shipped to each plant to minimize shipping costs? what is the minimum cost?

Bridgeport company began operations at the beginning of 2018. the following information pertains to this company. 1. pretax financial income for 2018 is $115,000. 2. the tax rate enacted for 2018 and future years is 40%. 3. differences between the 2018 income statement and tax return are listed below: (a) warranty expense accrued for financial reporting purposes amounts to $7,500. warranty deductions per the tax return amount to $2,200. (b) gross profit on construction contracts using the percentage-of-completion method per books amounts to $94,700. gross profit on construction contracts for tax purposes amounts to $67,100. (c) depreciation of property, plant, and equipment for financial reporting purposes amounts to $61,800. depreciation of these assets amounts to $75,700 for the tax return. (d) a $3,600 fine paid for violation of pollution laws was deducted in computing pretax financial income. (e) interest revenue recognized on an investment in tax-exempt municipal bonds amounts to $1,500. 4. taxable income is expected for the next few years. (assume (a) is short-term in nature; assume (b) and (c) are long-term in nature.) (a) prepare the reconciliation schedule for 2017 and future years. (b) prepare the journal entry to record income tax expense for 2017. (c) prepare the income tax expense section of the income statement beginning with “income before income taxes.” (d) determine how the deferred taxes will appear on the balance sheet at the end of 2017.

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

What is an equation of the line in slope intercept formm = 4 and the y-intercept is (0,5)y = 4x-5y = -5x +4y = 4x + 5y = 5x +4