Settlers are beginning to land on the west coast of Canada from across the Pacific Ocean. They arrive to an empty landscape that is only suitable for agriculture or forestry. Land that is closer to the coast is flatter and warmer, and thus, is better situated for agriculture. In contrast, land located further away from the coast has a more moderate climate and is more conducive for forestry. Let x denote the number of miles a plot of land is from the coast. The coastal mountains of Canada are rugged; thus, only 15 miles of land can be used for agriculture or forestry. For simplicity, let’s assume that plots of land are divided into parcels that are 1 mile in length (i.e., x = 1, 2, 3, ..., 15). Let r = 0.05 be society’s annual discount rate. Note that land devoted to agriculture permits a single harvest per year; thus, land devoted agriculture should be discounted using discrete time. Trees, on the other hand, grow continuously; thus, land devoted to forestry should be discounted using continuous time. Initially, all plots of land are immediately ready for agriculture; land devoted to forestry, in contrast, must incur a fixed cost of planting trees. Part A: The agriculturalist’s problem [5 points] Consider the agriculturalist’s problem of allocating work-ers to a plot of land. Suppose that land devoted to agriculture has a production function of f(N) = (a − x)Nt − (b/2) N^2 [PLEASE LOOK AT THE IMAGE FOR THE CORRECT EQUATION], where a = 20, b = 2, and Nt is the number of workers in year t. Suppose agricultural output receives a price of pa = 1 in a perfectly competitive market, which is assumed to be constant over time. For simplicity, suppose that the supply of workers is perfectly elastic and the per-worker wage is equal to zero.i) Find the optimal number of workers N∗ for a plot of land that is x miles away from the coast. Hint: your answer will not be a number; it will be a function of x.ii) Calculate the net present value (NPV) of a plot of land that is x miles from the coast and devoted to agricultural in perpetuity. In Excel plot the NPV of agricultural land with distance from the coast x on the horizontal axis (use x = 1, 2, 3, ..., 15). [THE NEXT PARTS ARE IN THE IMAGES ATTACHED. Please look at the images for the actual questions as some mathematical notations are hard to type out. Thank you.]

do the lab and fill out the document attached with this question.ProcedurePart 1: Determining Your PhenotypeData Table 1 contains a series of genotypes and phenotypes for a variety of hypothetical genetic traits. The genotype and phenotype for "Parent 1" are provided in Data Table 1. For each of the traits in Data Table 1, determine your phenotype and possible genotype(s).Note: If you have a dominant phenotype, you may have either a recessive allele and a dominant allele, such as “Aa,” or two dominant alleles, such as “AA.” If your phenotype is recessive, your genotype is always homozygous recessive such as “aa.”Use the mirror to determine if you have a dimpled chin.Record either "Dimpled Chin" or "No Dimples" under "Phenotype & Genotype(s) from Parent 2" in the "Dimpled Chin" row.If you have a dimpled chin, record "Dd" and "DD" under "Phenotype & Genotype(s) from Parent 2" in the "Dimpled Chin" row to represent the 2 possible genotypes for your observed dominant phenotype.If you do not have a dimpled chin, record "dd" under "Phenotype & Genotype(s) from Parent 2" in the "Dimpled Chin" row to represent the 1 possible genotype for your observed recessive phenotype.Repeat steps 1 - 4 for the remaining 9 traits in Data Table 1.Note: For the PTC test, place the PTC strip on your moist tongue and determine whether or not you can taste the chemical.Part 2: Determine the "Offspring"Draw a Punnett square to show both the genotype and phenotype ratios possible for the "Dimpled Chin" trait. Draw 1-2 Punnett squares on a sheet of paper. Place alleles in the in the Punnett square(s) to fill in the offspring, as shown in the example template below. The example template shown below is for “Dimpled Chin.”Take a photo of the completed Punnett square(s) and upload the image into Punnett Square 1. Be sure to include your name and the date in the drawing.Note: If you have a dominant phenotype then you will create two Punnett squares, if you have a recessive phenotype then you will create one Punnett square. Record the possible offspring genotype(s), percent of phenotype, and genotypic ratio in Data Table 1 under the "Offspring" column.Repeat step 6 for the remaining 9 traits in Data Table 1. Upload the images into Punnett Square 2 - 10. When the exercise is finished, you will have created 10 to 20 different Punnett squares. Note: All Punnett squares, for all 10 traits, need to be included in your report,

Questions 1. When the compensation point is defined where net photosynthesis is zero, and for a particular algal population the compensation depth was determined to be 1% of surface light, what is the maximum depth available for growth in both lakes? 2. Which wavelengths are most important for the heating of surface waters? 3. Why do clean, clear lakes appear blue in color?Why do aquatic plants appear green? 4. What accounts for any observed differences in your graphs for 3b and 3c?