某公司制定了一个激励销售人员的奖励方案

is responsible for Organization training and implementation and check 12 master workshops annual economic indicators of implementation reporting to financial health on a regular basis 13 is responsible for the daily oversight in the allocation and use of funds 14 responsible for all Department statistics collecting sorting reporting of accounting reports 15 the company responsible for the supervision of the Treasury including the third grade library a library of materials products for regular inventory handling sampling storage monitoring the picking work and provide the inventory report and make the appropriate accounting treatment 16 responsible for waste and recycling transportation and settlement 17 is responsible for all product sales accounting functions 18 responsible for the company s raw materials auxiliary materials account management 19 is responsible for the flow of control of all assets of the company according to the changes in accounting treatment of fixed assets and assets to the departments responsible for clearing settlement and asset monthly report submitted to the asset management section of the Finance Department of the company organized on a company wide special inspection of asset management 20 according to the company s business activities monthly projects involved in the business activities of the company including expenses business management cost control cash flow revenue etc financial analysis provide a basis for decisions for the company the business of the company responsible for monitoring forecasting and risk analysis 21 responsible for the settlement of transactions with the Bank 22 is 某公司制定了一个激励销售人员的奖励方案 当销售利润不超过 10 万元时 按销售利润的 15 进行奖励 当销售利润超过 10 万元时 若超出 A 万元 则超出部分按 2log5 A 1 进行奖励 记奖金 y 单位 万 元 销售利润 x 单位 万元 1 写出该公司激励销售人员的奖励方案的函数模型 2 如果业务员老江获得 5 5 万元的奖金 那么他的销售利润是多少万元 考点 根据实际问题选择函数类型 专题 计算题 函数的性质及应用 分析 1 根据奖励方案 可得分段函数 2 确定 x 10 利用函数解析式 即可得到结论 解答 解 1 当销售利润不超过 10 万元时 按销售利润的 15 进行奖励 当销售利润超过 10 万元 时 若超出 A 万元 则超出部分按 2log5 A 1 进行奖励 0 x 10 时 y 0 15x x 10 时 y 1 5 2log5 x 9 该公司激励销售人员的奖励方案的函数模型为y 0 15x 0 x 10 1 5 2log5 x 9 x 10 2 y 5 5 x 10 1 5 2log5 x 9 5 5 解得 x 34 老江的销售利润是 34 万元 点评 本题以实际问题为载体 某公司制定了一个激励销售人员的奖励方案 当销售利润不超过 15 万元时 按销售利润的 10 进行奖励 当销售利润超过 15 万元时 若超过部分为 A 万元 则超出部分按 2log5 A 1 进行奖励 没超出部分仍 按销售利润的 10 进行奖励 记奖金总额为 y 单位 万元 销售利润为 x 单位 万元 写出该公司激励销售人员的奖励方案的函数表达式 如果业务员老张获得 5 5 万元的奖金 那么他的销售利润是多少万元 考点 根据实际问题选择函数类型 专题 应用题 函数的性质及应用 分析 I 根据奖励方案 可得分段函数 II 确定 x 15 利用函数解析式 即可得到结论 is responsible for Organization training and implementation and check 12 master workshops annual economic indicators of implementation reporting to financial health on a regular basis 13 is responsible for the daily oversight in the allocation and use of funds 14 responsible for all Department statistics collecting sorting reporting of accounting reports 15 the company responsible for the supervision of the Treasury including the third grade library a library of materials products for regular inventory handling sampling storage monitoring the picking work and provide the inventory report and make the appropriate accounting treatment 16 responsible for waste and recycling transportation and settlement 17 is responsible for all product sales accounting functions 18 responsible for the company s raw materials auxiliary materials account management 19 is responsible for the flow of control of all assets of the company according to the changes in accounting treatment of fixed assets and assets to the departments responsible for clearing settlement and asset monthly report submitted to the asset management section of the Finance Department of the company organized on a company wide special inspection of asset management 20 according to the company s business activities monthly projects involved in the business activities of the company including expenses business management cost control cash flow revenue etc financial analysis provide a basis for decisions for the company the business of the company responsible for monitoring forecasting and risk analysis 21 responsible for the settlement of transactions with the Bank 22 is 解答 解 I 当销售利润不超过 15 万元时 按销售利润的 10 进行奖励 当销售利润超过 15 万元 时 若超过部分为 A 万元 则超出部分按 2log5 A 1 进行奖励 0 x 15 时 y 0 1x x 15 时 y 1 5 2log5 x 14 该公司激励销售人员的奖励方案的函数模型为 y 0 1x 0 x 15 1 5 2log5 x 14 x 15 II 0 x 15 时 0 1x 1 5 y 5 5 1 5 x 15 1 5 2log5 x 14 5 5 解得 x 39 老张的销售利润是 39 万元 点评 本题以实际问题为载体 考查函数模型的构建 考查学生的计算能力 属于中档题 模型确实能符合公司要求 解析 借助计算器或计算机作出函数 的图象 观察图象发现 在区间上 模型 的图象都有一部分在直线的上方 只有模型的图象始终在 的下方 这说明只有按模型进行奖励时才符合公司的要求 下面通过计 算确认上述判断 is responsible for Organization training and implementation and check 12 master workshops annual economic indicators of implementation reporting to financial health on a regular basis 13 is responsible for the daily oversight in the allocation and use of funds 14 responsible for all Department statistics collecting sorting reporting of accounting reports 15 the company responsible for the supervision of the Treasury including the third grade library a library of materials products for regular inventory handling sampling storage monitoring the picking work and provide the inventory report and make the appropriate accounting treatment 16 responsible for waste and recycling transportation and settlement 17 is responsible for all product sales accounting functions 18 responsible for the company s raw materials auxiliary materials account management 19 is responsible for the flow of control of all assets of the company according to the changes in accounting treatment of fixed assets and assets to the departments responsible for clearing settlement and asset monthly report submitted to the asset management section of the Finance Department of the company organized on a company wide special inspection of asset management 20 according to the company s business activities monthly projects involved in the business activities of the company including expenses business management cost control cash flow revenue etc financial analysis provide a basis for decisions for the company the business of the company responsible for monitoring forecasting and risk analysis 21 responsible for the settlement of transactions with the Bank 22 is 首先计算哪个模型的奖金总数不超过万 对于模型 它在区间上递增 当时 因此该 模型不符合要求 对于模型 由函数图象 并利用计算器 可知在区间内有一个点满 足 由于它在区间上递增 因此当时 因此该模型也 不符合要求 对于模型 它在区间上递增 而且当时 所以它符合奖金总数不超过万元的要求 再计算按模型奖励时 奖金是否不超过利润的 即当时 是否有成立 is responsible for Organization training and implementation and check 12 master workshops annual economic indicators of implementation reporting to financial health on a regular basis 13 is responsible for the daily oversight in the allocation and use of funds 14 responsible for all Department statistics collecting sorting reporting of accounting reports 15 the company responsible for the supervision of the Treasury including the third grade library a library of materials products for regular inventory handling sampling storage monitoring the picking work and provide the inventory report and make the appropriate accounting treatment 16 responsible for waste and recycling transportation and settlement 17 is responsible for all product sales accounting functions 18 responsible for the company s raw materials auxiliary materials account management 19 is responsible for the flow of control of all assets of the company according to the changes in accounting treatment of fixed assets and assets to the departments responsible for clearing settlement and asset monthly report submitted to the asset management section of the Finance Department of the company organized on a company wide special inspection of asset management 20 according to the company s business activities monthly projects involved in the business activities of the company including expenses business management cost control cash flow revenue etc financial analysis provide a basis for decisions for the company the business of the company responsible for monitoring forecasting and risk analysis 21 responsible for the settlement of transactions with the Bank 22 is 令 利用计算器或计算机作出函数的图象 由图象可知它是递减的 因此 即 所以 当时 说明按模型奖励 奖金不 会超过利润的 综上所述 模型确实能符合公司要求 is responsible for Organization training and implementation and check 12 master workshops annual economic indicators of implementation reporting to financial health on a regular basis 13 is responsible for the daily oversight in the allocation and use of funds 14 responsible for all Department statistics collecting sorting reporting of accounting reports 15 the company responsible for the supervision of the Treasury including the third grade library a library of materials products for regular inventory handling sampling storage monitoring the picking work and provide the inventory report and make the appropriate accounting treatment 16 responsible for waste and recycling transportation and settlement 17 is responsible for all product sales accounting functions 18 responsible for the company s raw materials auxiliary materials account management 19 is responsible for the flow of control of all assets of the company according to the changes in accounting treatment of fixed assets and assets to the de